\(C^\ast\)-simplicity of \(n\)-periodic products
type: Item
instance of: scholarly article
title: \(C^\ast\)-simplicity of \(n\)-periodic products
zbMATH Open document ID: 1358.20033
DOI: 10.1134/S0001434616050011
author: Sergey I. Adian
author: V. S. Atabekyan
published in: Mathematical Notes
publication date: 2016-10-18T00:00:00Z
Mathematics Subject Classification ID: 20F50
Mathematics Subject Classification ID: 20E06
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 22D25
Mathematics Subject Classification ID: 43A07
Mathematics Subject Classification ID: 46L05
zbMATH DE Number: 6640303
zbMATH Keywords: \(n\)-periodic product
zbMATH Keywords: \(C^\ast\)-simple group
zbMATH Keywords: nonsimple \(C^\ast\)-simple groups without free subgroups
zbMATH Keywords: trivial amenable radical
MaRDI profile type: Publication
cites work: On simplicity of reduced C*-algebras of groups
cites work: Amenable semigroups
cites work: \(C^*\)-simplicity and the unique trace property for discrete groups
cites work: Simplicity of the \(C^*\)-algebra associated with the free group on two generators
cites work: \(C^*\)-algebras associated with free products of groups
cites work: Mapping class groups and outer automorphism groups of free groups are \(C^{*}\)-simple
cites work: Relatively hyperbolic groups are \(C^*\)-simple.
cites work: \(C^*\)-simple groups without free subgroups
cites work: Q3657123
cites work: On subgroups of free Burnside groups of odd exponent $ n\ge 1003$
cites work: Periodic products of groups
cites work: Q4063646
cites work: Characteristic properties and uniform non-amenability of \(n\)-periodic products of groups
cites work: Uniform nonamenability of subgroups of free Burnside groups of odd period.
cites work: Q3205415
cites work: ON GROUPS ALL OF WHOSE PROPER SUBGROUPS ARE FINITE CYCLIC
cites work: On periodic groups of odd period \(n\geq 1003\).
Recommended article: Simplicity of Crossed Products of C ∗ -Algebras
Recommended article: Simplicity Of Reduced Amalgamated Products of C*-Algebras
Recommended article: Simplicity and the stable rank of some free product C*-algebras
Recommended article: Simplicity of the \(C^\ast\)-algebras of skew product \(k\)-graphs
Recommended article: On simplicity of intermediate -algebras
Recommended article: The simplicity of the \(C^\ast\)-algebras associated to arbitrary labeled spaces
Recommended article: Nonsimplicity of certain universal \(C^{\ast}\)-algebras
Recommended article: Exposé Bourbaki 1156 : C*-simplicity (after Breuillard, Haagerup, Kalantar, Kennedy and Ozawa)
Recommended article: \(C^\ast\)-simplicity of free products with amalgamation and radical classes of groups
Recommended article: On the \(K\)-theory of \(C^\ast\)-algebras associated with \(n\)-simplexes
description: scientific article; zbMATH DE number 6640303