The unique trace property of \(n\)-periodic product of groups

DOI10.3103/S106836231704001XzbMath1378.20041OpenAlexW2767586037MaRDI QIDQ1676255

Sh. A. Stepanyan, V. S. Atabekyan, A. L. Gevorgyan

Publication date: 6 November 2017

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s106836231704001x

zbMATH Keywords

automorphism groupperiodic groupperiodic product of groupsreduced \(C^\ast\)-algebra of a group

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Automorphism groups of groups (20F28) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (2)

\(n\)-torsion groups ⋮ Periodic products of groups

Cites Work

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• New estimates of odd exponents of infinite Burnside groups.
• \(C^\ast\)-simplicity of \(n\)-periodic products
• \(C^*\)-simple groups without free subgroups
• Once more on periodic products of groups and on a problem of A. I. Mal'tsev.
• \(C^*\)-simplicity and the unique trace property for discrete groups
• Amenable semigroups
• Simplicity of the \(C^*\)-algebra associated with the free group on two generators
• The Hopfian property of \(n\)-periodic products of groups.
• On normal subgroups in the periodic products of S. I. Adyan.
• Characteristic properties and uniform non-amenability of n-periodic products of groups
• On simplicity of reduced C*-algebras of groups
• On subgroups of free Burnside groups of odd exponent $ n\ge 1003$
• Periodic products of groups

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