\(C^\ast\)-simplicity of \(n\)-periodic products

DOI10.1134/S0001434616050011zbMath1358.20033MaRDI QIDQ325502

V. S. Atabekyan, S. I. Adyan

Publication date: 18 October 2016

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

\(C^\ast\)-simple group\(n\)-periodic productnonsimple \(C^\ast\)-simple groups without free subgroupstrivial amenable radical

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (5)

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 ⋮ Unnamed Item ⋮ Periodic products of groups ⋮ Questions in algebra and mathematical logic. Scientific heritage of S. I. Adian

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