Property RD and the classification of traces on reduced group C∗-algebras of hyperbolic groups

DOI10.1142/S1793525317500248zbMath1383.46041arXiv1402.0135OpenAlexW3102176825MaRDI QIDQ5360896

Sherry Gong

Publication date: 26 September 2017

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.0135

zbMATH Keywords

hyperbolic groups\(C^\ast\)-algebrasproperty RDgeometric group theorygroup \(C^\ast\)-algebrasunique tracial statereduced \(C^\ast\)-algebras

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Hyperbolic groups and nonpositively curved groups (20F67) States of selfadjoint operator algebras (46L30)

Related Items (1)

On reduced twisted group \(C^{\ast}\)-algebras that are simple and/or have a unique trace

Cites Work

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• An example of a non nuclear C*-algebra, which has the metric approximation property
• Uniform growth in hyperbolic groups
• Some groups whose reduced \(C^*\)-algebra is simple
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• Strongly geodesically automatic groups are hyperbolic
• A relative higher index theorem, diffeomorphisms and positive scalar curvature
• Rapidly Decreasing Functions in Reduced C ∗ -Algebras of Groups

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