THE SET OF 2-GENERETED $C^*$-SIMPLE RELATIVELY FREE GROUPS HAS THE CARDINALITY OF THE CONTINUUM

DOI10.46991/PYSU:A/2020.54.2.081MaRDI QIDQ5100160

V. S. Atabekyan

Publication date: 29 August 2022

Published in: Proceedings of the YSU A: Physical and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/uzeru708

zbMATH Keywords

amenable radicalrelatively free groupsnonamenable group\(C^*\)-simple groupreduced \(C^*\)-algebra of group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Automorphisms of abstract finite groups (20D45) Free nonabelian groups (20E05) Quasivarieties and varieties of groups (20E10)

Cites Work

• Unnamed Item
• \(C^\ast\)-simplicity of \(n\)-periodic products
• \(C^*\)-simple groups without free subgroups
• \(C^*\)-simplicity and the unique trace property for discrete groups
• Amenable semigroups
• Relatively hyperbolic groups are \(C^*\)-simple.
• Simplicity of the \(C^*\)-algebra associated with the free group on two generators
• \(C^*\)-algebras associated with free products of groups
• Mapping class groups and outer automorphism groups of free groups are \(C^{*}\)-simple
• Normal automorphisms of free groups of infinitely based varieties
• \(C^*\)-simplicity and the amenable radical
• On free groups in the infinitely based varieties of S. I. Adian
• RANDOM WALKS ON FREE PERIODIC GROUPS
• On simplicity of reduced C*-algebras of groups
• On subgroups of free Burnside groups of odd exponent $ n\ge 1003$
• ON GROUPS ALL OF WHOSE PROPER SUBGROUPS ARE FINITE CYCLIC

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