\(C^*\)-simple groups without free subgroups

DOI10.4171/GGD/253zbMath1354.22009arXiv1401.7300OpenAlexW2963679029MaRDI QIDQ473150

Denis V. Osin, Alexander Yu. Ol'shanskii

Publication date: 21 November 2014

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.7300

zbMATH Keywords

small cancellation theoryrelatively hyperbolic groupfree subgroup\(C^*\) simple groupfree Burnside groupsimple \(C^*\) algebraunique trace

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Hyperbolic groups and nonpositively curved groups (20F67) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (15)

Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces ⋮ Fourier theory and \(C^\ast\)-algebras ⋮ \(C^\ast\)-simplicity of \(n\)-periodic products ⋮ Boundaries of reduced \(C^\ast\)-algebras of discrete groups ⋮ \(n\)-torsion groups ⋮ \(C^*\)-simplicity and the amenable radical ⋮ The unique trace property of \(n\)-periodic product of groups ⋮ THE SET OF 2-GENERETED $C^*$-SIMPLE RELATIVELY FREE GROUPS HAS THE CARDINALITY OF THE CONTINUUM ⋮ 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 ⋮ \(C^*\)-simplicity and the unique trace property for discrete groups ⋮ \(C^\ast\)-simplicity of free products with amalgamation and radical classes of groups ⋮ Periodic products of groups ⋮ Subgroup dynamics and $C^\ast$-simplicity of groups of homeomorphisms ⋮ A New Look at C∗-Simplicity and the Unique Trace Property of a Group

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