Some groups whose reduced \(C^*\)-algebras have stable rank one

DOI10.1016/S0021-7824(99)00015-XzbMath0929.22008OpenAlexW1973284092MaRDI QIDQ1305131

Kenneth J. Dykema, Pierre De la Harpe

Publication date: 5 January 2000

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-7824(99)00015-x

zbMATH Keywords

free products with amalgamationstable rankhyperbolic groupsreduced group \(C^\ast\)-algebra

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Discrete subgroups of Lie groups (22E40)

Related Items (8)

On reduced twisted group \(C^{\ast}\)-algebras that are simple and/or have a unique trace ⋮ \(C^\ast\)-simplicity of free products with amalgamation and radical classes of groups ⋮ Stable rank and real rank for some classes of group 𝐶*-algebras ⋮ On the degree of rapid decay ⋮ Homotopical stable ranks for Banach algebras ⋮ Relatively spectral morphisms and applications to K-theory ⋮ Stable rank of \(C^*\)-algebras of continuous fields ⋮ On invertible elements in reduced \(C^\ast\)-algebras of acylindrically hyperbolic groups

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