Property \((T)\) for \(II_ 1\) factors and unitary representations of Kazhdan groups

DOI10.1007/BF01445119zbMath0787.22008OpenAlexW2012374014MaRDI QIDQ1318073

A. Guyan Robertson

Publication date: 17 May 1994

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

Full work available at URL: https://eudml.org/doc/165099

zbMATH Keywords

positive definite functionsKazhdan's property (T)group von Neumann algebra\(II_ 1\) factors

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Classifications of (C^*)-algebras (46L35) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items

Character rigidity for special linear groups., Operator-algebraic superridigity for \(\mathrm{SL}_{n}(\mathbb Z)\), \(n \geq 3\), Amenable representations and finite injective von Neumann algebras, Stabilizers of ergodic actions of lattices and commensurators, Haagerup property for \(C^\ast\)-algebras and rigidity of \(C^\ast\)-algebras with property (T)

Cites Work

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• On Crossed Products with Property T
• Property T for von Neumann Algebras
• Strong Non-Amenability of II₁ Factors with Property T
• Completely positive maps which are compact from L^∞ to L¹
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