On simplicity of reduced C*-algebras of groups

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dc.creatorde la Harpe, Pierre
dc.date2005-09-20
dc.date.accessioned2026-07-07T06:18:21Z
dc.date.available2026-07-07T06:18:21Z
dc.descriptionA countable group is C*-simple if its reduced C*-algebra is a simple algebra. Since Powers recognised in 1975 that non-abelian free groups are C*-simple, large classes of groups which appear naturally in geometry have been identified, including non-elementary Gromov hyperbolic groups and lattices in semisimple groups. In this exposition, C*-simplicity for countable groups is shown to be an extreme case of non-amenability. The basic examples are described and several open problems are formulated.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0509450
dc.identifierhttp://arxiv.org/abs/math/0509450
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94705
dc.subjectOperator Algebras
dc.subjectRepresentation Theory
dc.subject22D25; 46L05
dc.titleOn simplicity of reduced C*-algebras of groups
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