Discrete groups and simple C*-algebras

DOI10.1017/S0305004100069966zbMath0725.22002OpenAlexW2021140544MaRDI QIDQ5203254

Erik Bedos

Publication date: 1991

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100069966

zbMATH Keywords

extensionsactiondiscrete groupreduced crossed productreduced \(C^ *\)-algebrasimple \(C^ *\)-algebraweak Powers groups\(C^ *\)-simple groups

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Subfactors and their classification (46L37) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (13)

The Haagerup property for twisted groupoid dynamical systems ⋮ APPROXIMATION PROPERTIES FOR CROSSED PRODUCTS BY ACTIONS AND COACTIONS ⋮ SYMMETRIC IMPRIMITIVITY THEOREMS FOR GRAPH C*-ALGEBRAS ⋮ The Dixmier property and tracial states for \(C^\ast\)-algebras ⋮ \(C^*\)-simplicity and the amenable radical ⋮ On maximal ideals in certain reduced twisted C*-crossed products ⋮ On reduced twisted group \(C^{\ast}\)-algebras that are simple and/or have a unique trace ⋮ On simplicity of intermediate -algebras ⋮ Fourier series and twisted \(C^*\)-crossed products ⋮ A Galois Correspondence for Reduced Crossed Products of Simple -algebras by Discrete Groups ⋮ On twisted group -algebras associated with FC-hypercentral groups and other related groups ⋮ On simplicity of reduced C*-algebras of groups ⋮ \(C^\ast \)-irreducibility for reduced twisted group \(C^\ast \)-algebras

Cites Work

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• The unitary representation theory of GL(n) of an infinite discrete field
• Power's property and simple \(C^*\)-algebras
• Outer automorphisms and reduced crossed products of simple C*-algebras
• Simplicity of the \(C^*\)-algebra associated with the free group on two generators
• A characterization of crossed products of factors by discrete outer automorphism groups
• \(C^*\)-algebras associated with free products of groups
• On the cross-norm of the direct product of \(C^ *\)-algebras
• A generalization of free action
• Automorphisms of crossed products
• Eine Verallgemeinerung der invarianten Untergruppen
• Convergence of Fourier Series in Discrete Crossed Products of von Neumann Algebras
• A Remark on Crossed Product of C^∗ -Algebras
• The Automorphism Groups of the Braid Groups
• Twisted crossed products of C*-algebras
• The Automorphism Group of a Free Group is Complete
• Twisted group $C^*$-algebras corresponding to nilpotent discrete groups.
• Analyticity in Operator Algebras

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