Property \(T\) for discrete groups in terms of their regular representation

DOI10.1007/BF01459515zbMath0787.22007MaRDI QIDQ1318145

Paul Jolissaint

Publication date: 12 April 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165145

zbMATH Keywords

von Neumann algebrapositive definite functionsdiscrete groupsFourier-Stieltjes algebraKazhdan's property \(T\)

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (5)

A unique decomposition result for HT factors with torsion free core ⋮ Haagerup property for \(C^{*}\)-algebras ⋮ \(C^*\)-Fermi systems and detailed balance ⋮ Around property (T) for quantum groups ⋮ Property (\(T\)) and strong property (\(T\)) for unital \(C^*\)-algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The correspondence associated to an inner completely positive map
• Tensor products of operator algebras
• Kazhdan's property \((T)\) and amenable representations
• A generalization of free action
• \(W^*\)-algebras and nonabelian harmonic analysis
• Property T for von Neumann Algebras
• L'algèbre de Fourier d'un groupe localement compact
• Les Fonctions De Type Positif et la Theorie Des Groupes

This page was built for publication: Property \(T\) for discrete groups in terms of their regular representation