Kazhdan's property T and \(C^{*}\)-algebras

DOI10.1016/j.jfa.2006.05.003zbMath1114.46042arXivmath/0602312OpenAlexW2060154706MaRDI QIDQ860781

Nathanial P. Brown

Publication date: 9 January 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602312

zbMATH Keywords

property T\(C^{*}\)-algebranuclearityfinite-dimensionality

Mathematics Subject Classification ID

Classifications of (C^*)-algebras (46L35)

Related Items (14)

Property (T) for topological groups and \(C^*\)-algebras ⋮ Property \(T\ C^\ast\)-algebras with amenable tracial states ⋮ A property for locally convex^*-algebras related to property (T) and character amenability ⋮ Haagerup property for \(C^\ast\)-algebras and rigidity of \(C^\ast\)-algebras with property (T) ⋮ Property $(T)$ for locally compact groups and $C^*$-algebras ⋮ A \(C^{*}\)-analogue of Kazhdan's property (T) ⋮ Property T for general C*-algebras ⋮ Property (\(T\)) for non-unital \(C^{*}\)-algebras ⋮ Property (T) and exotic quantum group norms ⋮ Property \(T\) for actions ⋮ Kazhdan projections, random walks and ergodic theorems ⋮ A full description of property \(T\) of unital \(C^\ast\)-crossed products ⋮ Property T for non-unital C*-crossed products ⋮ Property (\(T\)) and strong property (\(T\)) for unital \(C^*\)-algebras

Cites Work

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• On isolated points in the dual spaces of locally compact groups
• Random matrices and \(K\)-theory for exact \(C^*\)-algebras
• Discrete groups with Kazhdan's property \(T\) and factorization property are residually finite
• Property T for von Neumann Algebras
• \(C^*\)-algebras by example

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