Morita equivalence of partial group actions and globalization

DOI10.1090/tran/6525zbMath1342.16021OpenAlexW2214914144MaRDI QIDQ2790644

Juan Jacobo Simón, Fernando Abadie, Ruy Exel, Mikhailo Dokuchaev

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/9955dc8d6746e487ca5d5ad2167897287954af8e

zbMATH Keywords

Morita equivalences\(C^*\)-algebrasskew group ringspartial actionsglobalizationspartial group actions

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) General theory of (C^*)-algebras (46L05) Graded rings and modules (associative rings and algebras) (16W50) Twisted and skew group rings, crossed products (16S35)

Related Items (7)

On partial \(H\)-radicals of Jacobson type ⋮ Dual constructions for partial actions of Hopf algebras. ⋮ Globalization of partial group actions on semiprime Lie algebras and unital Jordan algebras ⋮ Partial (Co)actions of multiplier Hopf algebras: Morita and Galois theories ⋮ Recent developments around partial actions ⋮ Globalization of partial cohomology of groups ⋮ Dilations of partial representations of Hopf algebras

Cites Work

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• Partial skew group rings over polycyclic by finite groups.
• Partial actions and Galois theory
• Partial actions and partial skew group rings.
• Hecke algebras for protonormal subgroups.
• Crossed products by twisted partial actions and graded algebras.
• Morita equivalence for idempotent rings
• Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
• Circle actions on \(C^*\)-algebras, partial automorphisms, and a generalized Pimsner-Voiculescu exact sequence
• Globalization of confluent partial actions on topological and metric spaces
• Actions and expansions of ordered groupoids
• Enveloping actions and Takai duality for partial actions.
• Partial actions of groups on cell complexes
• \(K\)-theory for partial crossed products by discrete groups
• GALOIS CORRESPONDENCES FOR PARTIAL GALOIS AZUMAYA EXTENSIONS
• Enveloping Actions for Partial Hopf Actions
• Globalizations of partial actions on nonunital rings
• Partial Skew Polynomial Rings: Prime and Maximal Ideals
• Partial Crossed Products and Goldie Rings
• Partial (Co)Actions of Hopf Algebras and Partial Hopf-Galois Theory
• Partial Skew Polynomial Rings and Goldie Rings
• When is a Crossed Product by a Twisted Partial Action Azumaya?
• Partial Skew Polynomial Rings and Jacobson Rings
• Partial Actions and Partial Fixed Rings
• Globalization of twisted partial actions
• On Rings whose Left Modules are Direct Sums of Finitely Generated Modules
• Partial actions of groups and actions of inverse semigroups
• Twisted Partial Actions: A Classification of Regular C*-Algebraic Bundles
• Characterisations of crossed products by partial actions
• Partial dynamical systems and C*-algebras generated by partial isometries
• On partial actions and groupoids
• PARTIAL ACTIONS OF GROUPS
• Associativity of crossed products by partial actions, enveloping actions and partial representations
• The Bunce-Deddens algebras as crossed products by partial automorphisms
• Approximately Finite $C^*$-Algebras and Partial Automorphisms.
• Partial Groupoid Actions: Globalization, Morita Theory, and Galois Theory
• GLOBALIZATION OF PARTIAL ACTIONS ON SEMIPRIME RINGS
• Envelope Algebras of Partial Actions as Groupoid C*-Algebras
• Leavitt Path Algebras as Partial Skew Group Rings
• Actions of Inverse Semigroups on Algebras
• Partial Actions on Categories
• Morita equivalence of \(C^*\)-crossed products by inverse semigroup actions and partial actions

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