Algebraic actions. I: \(\mathrm{C}^\ast\)-algebras and groupoids

DOI10.1016/j.jfa.2023.110263arXiv2209.05823MaRDI QIDQ6144843

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Publication date: 30 January 2024

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.05823

zbMATH Keywords

inverse semigroupsétale groupoids\(\mathrm{C}^\ast\)-algebrasalgebraic actions

Mathematics Subject Classification ID

Topological dynamics (37B99) Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Topological groupoids (including differentiable and Lie groupoids) (22A22) Inverse semigroups (20M18) Dynamical systems and the theory of (C^*)-algebras (37A55)

Cites Work

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• The boundary quotient for algebraic dynamical systems
• The tight groupoid of an inverse semigroup
• \(C^*\)-algebras associated with endomorphisms and polymorphisms of compact abelian groups
• Semigroup \(C^{*}\)-algebras and amenability of semigroups
• Topological full groups of one-sided shifts of finite type
• On exact toral endomorphisms
• Ring C\(^*\)-algebras
• Tight representations of semilattices and inverse semigroups.
• Inverse semigroups and combinatorial \(C^*\)-algebras
• A groupoid approach to C*-algebras
• Groupoids, inverse semigroups, and their operator algebras
• On \(C^*\)-algebras associated to certain endomorphisms of discrete groups
• Semigroup action on \(\mathbb T^n\)
• A classification theorem for nuclear purely infinite simple \(C^*\)-algebras
• Tight and cover-to-join representations of semilattices and inverse semigroups
• \(K\)-theory for semigroup \(C^*\)-algebras and partial crossed products
• Operator algebras and dynamics: groupoids, crossed products, and Rokhlin dimension. Lecture notes given at the advanced course on crossed products, groupoids, and Rokhlin dimension, Centre de Recerca Matemàtica, CRM, Barcelona, Spain, March 13--17, 2017
• Dimension, comparison, and almost finiteness
• On \(C^*\)-algebras of irreversible algebraic dynamical systems
• \(K\)-theory for group \(C^*\)-algebras and semigroup \(C^*\)-algebras
• \(\mathrm C^*\)-algebras of right LCM one-relator monoids and Artin-Tits monoids of finite type
• Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness
• Characterizing groupoid \(C^*\)-algebras of non-Hausdorff étale groupoids
• On $C^*$-algebras associated to right LCM semigroups
• The Regular C*-algebra of an Integral Domain
• Homology and topological full groups of étale groupoids on totally disconnected spaces
• C^*-Algebras of algebraic dynamical systems and right LCM semigroups
• Multi-Invariant Sets on Tori
• A survey of algebraic actions of the discrete Heisenberg group
• Partial actions of groups and actions of inverse semigroups
• PARTIAL ACTIONS OF GROUPS
• Embedding of exact C* -algebras in the Cuntz algebra 𝒪2
• Regular representation of groupoid C* -algebras and applications to inverse semigroups
• Partial Transformation Groupoids Attached to Graphs and Semigroups
• Toeplitz algebras of semigroups
• (Non)exotic Completions of the Group Algebras of Isotropy Groups
• Purely Infinite Locally Compact Hausdorff étale Groupoids and Their C*-algebras
• Ideal structure and pure infiniteness of ample groupoid -algebras
• C*-algebras from actions of congruence monoids on rings of algebraic integers
• A dichotomy for groupoid -algebras
• Simplicity of algebras associated to non-Hausdorff groupoids
• 𝐾-theory for generalized Lamplighter groups
• Topological freeness for $*$-commuting covering maps
• A correspondence between a class of monoids and self-similar group actions II
• Groups Covered By Permutable Subsets
• On K-theoretic invariants of semigroup C*-algebras from actions of congruence monoids
• Ergodic Theory
• Dynamical systems of algebraic origin
• Left regular representations of Garside categories I. C^*-algebras and groupoids

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