Recent developments around partial actions (Q2000121)

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English	Recent developments around partial actions	scientific article

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scholarly article

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Recent developments around partial actions (English)

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São Paulo Journal of Mathematical Sciences

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publication date

28 June 2019

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full work available at URL

https://arxiv.org/abs/1801.09105

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zbMATH Keywords

partial action

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partial representation

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crossed product

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Mikhailo Dokuchaev

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MaRDI profile type

MaRDI publication profile

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Morita equivalence for crossed products by Hilbert $C^\ast $-bimodules

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Ideals in cross sectional \(C^\ast\)-algebras of Fell bundles

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Enveloping actions and Takai duality for partial actions.

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On partial actions and groupoids

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Morita enveloping Fell bundles

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Morita equivalence of partial group actions and globalization

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Applications of ternary rings to \(C^*\)-algebras

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On the amenability of partial and enveloping actions

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Crossed products over weak Hopf algebras related to cleft extensions and cohomology

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Cohomology of algebras over weak Hopf algebras

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Lax entwining structures, groupoid algebras and cleft extensions.

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Partial Hopf module categories.

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Cohomology of partial smash products

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Partial Hopf actions, partial invariants and a Morita context

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Enveloping Actions for Partial Hopf Actions

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Globalization theorems for partial Hopf (co)actions, and some of their applications

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Twisted partial actions of Hopf algebras.

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GLOBALIZATION OF TWISTED PARTIAL HOPF ACTIONS

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Partial representations of Hopf algebras

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Dynamical systems associated to separated graphs, graph algebras, and paradoxical decompositions

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\(K\)-theory for the tame \(C^{\ast}\)-algebra of a separated graph

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Dynamical systems of type and their -algebras

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Isolated sets, catenary Lyapunov functions and expansive systems

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Partial actions and quotient rings

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CLOSED AND PRIME IDEALS IN PARTIAL SKEW GROUP RINGS OF ABELIAN GROUPS

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Partial Actions and Partial Fixed Rings

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Partial actions and power sets.

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Actions of Inverse Semigroups on Algebras

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Crossed Products by Twisted Partial Actions: Separability, Semisimplicity, and Frobenius Properties

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PARTIAL ACTIONS OF ORDERED GROUPOIDS ON RINGS

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Partial Groupoid Actions: Globalization, Morita Theory, and Galois Theory

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Globalization of partial actions of groupoids on nonunital rings

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On the separability of the partial skew groupoid ring

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SIMPLICITY OF CROSSED PRODUCTS BY TWISTED PARTIAL ACTIONS

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Partial actions: what they are and why we care

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Hopf categories

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Cohomology for partial actions of Hopf algebras

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Dual constructions for partial actions of Hopf algebras.

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Ring theoretic properties of partial crossed products and related themes

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Partial Crossed Products and Goldie Rings

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GLOBALIZATION OF PARTIAL ACTIONS ON SEMIPRIME RINGS

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Partial crossed products as equivalence relation algebras.

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The interplay between Steinberg algebras and skew rings

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Simplicity of skew inverse semigroup rings with applications to Steinberg algebras and topological dynamics

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The lazy homology of a Hopf algebra.

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THE GROUPS OF RICHARD THOMPSON AND COMPLEXITY

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Almost finite expansions of arbitrary semigroups

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Group theory via global semigroup theory

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A duality theorem for Hopf module algebras

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Partial crossed product description of the 𝐶*-algebras associated with integral domains

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The weak theory of monads

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Cleft extensions of Hopf algebroids.

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(Co)cyclic (co)homology of bialgebroids: An approach via (co)monads

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Morita theory for coring extensions and cleft bicomodules.

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Descent Cohomology and Corings

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Twisted actions and regular Fell bundles over inverse semigroups

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Inverse semigroup expansions and their actions on \(C^{\ast}\)-algebras

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Partial (Co)Actions of Hopf Algebras and Partial Hopf-Galois Theory

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CUNTZ–PIMSNER C*-ALGEBRAS ASSOCIATED WITH SUBSHIFTS

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Partial actions and KMS states on relative graph \(C^\ast\)-algebras

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Some remarks on the $C^*$-algebras associated with subshifts

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Partial skew group rings over polycyclic by finite groups.

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Partial actions of weak Hopf algebras: smash product, globalization and Morita theory.

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Globalizations for partial (co)actions on coalgebras

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On the Semiprimitivity and Semiprimality Problems for Partial Smash Products

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On partial \(H\)-radicals of Jacobson type

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The category of partial Doi-Hopf modules and functors.

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Partial group (co)actions of Hopf group coalgebras

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Twisted partial coactions of Hopf algebras

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Inverse monoids of Möbius type

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BIRGET–RHODES EXPANSION OF GROUPS AND INVERSE MONOIDS OF MÖBIUS TYPE

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GREEN'S EQUIVALENCES OF BIRGET-RHODES EXPANSIONS OF FINITE GROUPS

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Transitive partial actions of groups

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Galois coverings, Morita equivalence and smash extensions of categories over a field.

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A groupoid generalisation of Leavitt path algebras

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Group-Graded Rings, Smash Products, and Group Actions

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Proper two-sided restriction semigroups and partial actions.

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Partial Skew Polynomial Rings and Jacobson Rings

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Partial Skew Polynomial Rings: Prime and Maximal Ideals

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Partial Skew Polynomial Rings Over Semisimple Artinian Rings

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Partial Actions on Categories

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Partial Skew Polynomial Rings and Goldie Rings

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Bezout duo and distributive partial skew power series rings

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Description of partial actions

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Goldie twisted partial skew power series rings

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FREE PRODUCT, PROFINITE TOPOLOGY AND FINITELY GENERATED SUBGROUPS

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Boundary quotients and ideals of Toeplitz \(C^{*}\)-algebras of Artin groups

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A class of C*-algebras and topological Markov chains

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The ideal structure of Steinberg algebras

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Associativity of crossed products by partial actions, enveloping actions and partial representations

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Partial actions and subshifts

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The ideal structure of algebraic partial crossed products

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Partial representations and partial group algebras

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Crossed products by twisted partial actions and graded algebras.

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Globalization of twisted partial actions

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Partial actions and Galois theory

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Partial cohomology of groups.

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Twisted partial actions and extensions of semilattices of groups by groups

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Globalization of partial cohomology of groups

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Partial representations and their domains

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Partial projective representations and partial actions.

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Partial projective representations and partial actions. II.

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The partial Schur multiplier of a group.

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Partial actions and automata

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Partial Galois cohomology and related homomorphisms

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Partial generalized crossed products and a seven-term exact sequence

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ISOMORPHISMS OF PARTIAL GROUP RINGS Research partially supported by CNPq Procs. 30111595-8 and 30024379-0 and FAPESP Proc. 00/07291-0.

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Globalizations of partial actions on nonunital rings

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Schur's theory for partial projective representations

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Isomorphisms of Partial Group Rings

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On finite degree partial representations of groups.

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NORMALIZERS AND FREE GROUPS IN THE UNIT GROUP OF AN INTEGRAL SEMIGROUP RING

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Morita context, partial Hopf Galois extensions and partial entwining structure.

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Transformation groups and \(C^ *\)-algebras

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Locally compact transformation groups and 𝐶*-algebras

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Circle actions on \(C^*\)-algebras, partial automorphisms, and a generalized Pimsner-Voiculescu exact sequence

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The Bunce-Deddens algebras as crossed products by partial automorphisms

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Approximately Finite $C^*$-Algebras and Partial Automorphisms.

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Twisted Partial Actions: A Classification of Regular C*-Algebraic Bundles

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Amenability for Fell bundles.

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Partial actions of groups and actions of inverse semigroups

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Partial representations and amenable Fell bundles over free groups

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Hecke algebras for protonormal subgroups.

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Inverse semigroups and combinatorial \(C^*\)-algebras

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Partial Dynamical Systems, Fell Bundles and Applications

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Envelope Algebras of Partial Actions as Groupoid C*-Algebras

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Cuntz-Krieger algebras for infinite matrices

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The \(K\)-theory of Cuntz-Krieger algebras for infinite matrices

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Partial dynamical systems and the KMS condition

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Partial dynamical systems and C*-algebras generated by partial isometries

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Self-similar graph $C^*$-algebras and partial crossed products

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Actions of inverse semigroups arising from partial actions of groups

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Preunits and weak crossed products

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Partial and unified crossed products are weak crossed products

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Equivalences for Weak Crossed Products

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Construction of globalizations for partial actions on rings, algebras, \(C^\ast\)-algebras and Hilbert bimodules

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Partial actions of groups on algebras, a survey.

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Partial actions and partial skew group rings.

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A Jacobson radical for Hopf module algebras

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Duality for Groupoid (Co)Actions

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The Szendrei expansion of a semigroup

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Morita equivalence for idempotent rings

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Actions and expansions of ordered groupoids

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Bratteli–Vershik models for partial actions of ℤ

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Purely infinite partial crossed products

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The open mapping principle for partial actions of Polish groups

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On the continuity of partial actions of Hausdorff groups on metric spaces

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Simplicity of Partial Skew Group Rings of Abelian Groups

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Simplicity of partial skew group rings with applications to Leavitt path algebras and topological dynamics.

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C*-algebras Associated do Stationary Ordered Bratteli Diagrams

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Leavitt Path Algebras as Partial Skew Group Rings

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Ultragraphs and shift spaces over infinite alphabets

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Infinite Alphabet Edge Shift Spaces via Ultragraphs and Their C*-Algebras

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SIMPLICITY AND CHAIN CONDITIONS FOR ULTRAGRAPH LEAVITT PATH ALGEBRAS VIA PARTIAL SKEW GROUP RING THEORY

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Free path groupoid grading on Leavitt path algebras

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KMS and ground states on ultragraph \( C^*\)-algebras

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On Strongly Associative Group Algebras

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On strongly associative group algebras of p-solvable groups

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PARTIAL ACTIONS OF INVERSE AND WEAKLY LEFT <i>E</i>-AMPLE SEMIGROUPS

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Actions and partial actions of inductive constellations.

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Partial actions of monoids.

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On generalized crossed product and Brauer group

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Tiling semigroups

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PARTIAL ACTIONS OF GROUPS

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Noncommutative boundaries and the ideal structure of reduced crossed products

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Residually finite actions and crossed products

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Partial actions and an embedding theorem for inverse semigroups

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REFLECTORS AND GLOBALIZATIONS OF PARTIAL ACTIONS OF GROUPS

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Regular representation of groupoid C* -algebras and applications to inverse semigroups

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Partial actions of \(C^{*}\)-quantum groups

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Partial monoid actions and a class of restriction semigroups.

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The structure of a partial Galois extension

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The structure of a partial Galois extension II

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Partial group actions and partial Galois extensions

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Aperiodicity, topological freeness and pure outerness: from group actions to Fell bundles

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Cohomology of inverse semigroups

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Expansions of inverse semigroups

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The Module Type of a Ring

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Topologically free partial actions and faithful representations of crossed products

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Partial Transformation Groupoids Attached to Graphs and Semigroups

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Independent resolutions for totally disconnected dynamical systems. II. $C^*$-algebraic case

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ON THE TOTAL COMPONENT OF THE PARTIAL SCHUR MULTIPLIER

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An Introduction to Symbolic Dynamics and Coding

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Cohomology of inverse semigroups

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Duality for partial group actions

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\(K\)-theory for partial crossed products by discrete groups

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Globalization of confluent partial actions on topological and metric spaces

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On inverse semigroup \(C^*\)-algebras and crossed products

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Duality for crossed products of von Neumann algebras

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The $K$-Theory of Some Reduced Inverse Semigroup $C^*$-Algebras

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On Components of the Partial Schur Multiplier

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Partial category actions on sets and topological spaces

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Simple semigroup graded rings

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Outer Partial Actions and Partial Skew Group Rings

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Artinian and Noetherian partial skew groupoid rings

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Epsilon-strongly graded rings, separability and semisimplicity

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Strongly E-reflexive inverse semigroups

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Morita, Galois, and the trace map: a survey

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GALOIS CORRESPONDENCES FOR PARTIAL GALOIS AZUMAYA EXTENSIONS

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When is a Crossed Product by a Twisted Partial Action Azumaya?

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A Galois-Grothendieck-type correspondence for groupoid actions

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A REPRESENTATION OF <i>E</i>-UNITARY INVERSE SEMIGROUPS

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The total component of the partial Schur multiplier of the elementary abelian 3-group

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On the total component and the torsion part of the partial Schur multiplier

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Polish globalization of Polish group partial actions

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Characterisations of crossed products by partial actions

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Amenability of groupoids arising from partial semigroup actions and topological higher rank graphs

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INVERSE SEMIGROUPS ACTING ON GRAPHS

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Purely infinite <i>C</i><sup>*</sup>-algebras arising from crossed products

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An introduction to homological algebra

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Ideaux primitifs de certains produits croises

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Radicals of \(H\)-module algebras

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C*-crossed products by partial actions and actions of inverse semigroups

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C*-Crossed Products by Twisted Inverse Semigroup Actions

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Morita equivalence of \(C^*\)-crossed products by inverse semigroup actions and partial actions

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Invertible Lax Entwining Structures and C-Cleft Extensions

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Inverse semigroup homomorphisms via partial group actions

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Partial actions of groups on cell complexes

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A groupoid approach to discrete inverse semigroup algebras

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Cohomology of Algebras Over Hopf Algebras

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A note on Birget-Rhodes expansion of groups

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Multiplier Hopf Algebras

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\(\mathrm{C}^\ast\)-algebras of endomorphisms of groups with finite cokernel and partial actions

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MASCHKE-TYPE THEOREM FOR PARTIAL SMASH PRODUCTS

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Some fundamental properties of tiling semigroups

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Identifiers

zbMATH Open document ID

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10.1007/s40863-018-0087-y

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Mathematics Subject Classification ID

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zbMATH DE Number

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Mathematics(1 entry)

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