A \(C^{*}\)-analogue of Kazhdan's property (T)

DOI10.1016/j.aim.2007.05.003zbMath1130.46036arXivmath/0606724OpenAlexW1984995622MaRDI QIDQ2456215

Alexander A. Pavlov, Evgenij V. Troitsky

Publication date: 17 October 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606724

zbMATH Keywords

\(C^*\)-algebradual objectHilbert \(C^*\)-moduleKazhdan's property (T)

Mathematics Subject Classification ID

(C^*)-modules (46L08) General theory of (C^*)-algebras (46L05)

Related Items (2)

Property (T) for topological groups and \(C^*\)-algebras ⋮ Twisted Burnside-Frobenius theory for endomorphisms of polycyclic groups

Cites Work

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• Kazhdan's property T and \(C^{*}\)-algebras
• On conditional expectations arising from group actions
• Hilbert \(C^*\) and \(W^*\)-modules and their morphisms
• Self-duality and \(C^*\)-reflexivity of Hilbert \(C^*\)-moduli
• Reflexivity of \(C^*\)-Hilbert modules obtained by group actions
• Connection of the dual space of a group with the structure of its closed subgroups
• PROPERTY (T) FOR C*-ALGEBRAS
• Property T for von Neumann Algebras
• THE INDEX OF ELLIPTIC OPERATORS OVERC*-ALGEBRAS
• The standard form of von Neumann algebras.
• Discrete groups actions and corresponding modules
• A Simple Proof of the Dauns-Hofmann Theorem.
• Representation of rings by sections

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