Kazhdan's property \((T)\) and amenable representations

DOI10.1007/BF02571659zbMath0789.22006MaRDI QIDQ1319292

Alain Valette, Mohammed El Bachir Bekka

Publication date: 5 June 1994

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

Full work available at URL: https://eudml.org/doc/174488

zbMATH Keywords

amenable representationsKazhdan's property \((T)\)separable locally compact groupsimple noncompact Lie groups

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items

Kazhdan sets in groups and equidistribution properties, Quantum groups, property (T), and weak mixing, Topological Boundaries of Unitary Representations, Charmenability of arithmetic groups of product type, Amenability versus property (𝑇) for non-locally compact topological groups, On invariant subalgebras of group and von Neumann algebras, Von Neumann equivalence and properly proximal groups, Amenable representations and finite injective von Neumann algebras, Weak mixing for locally compact quantum groups, Asymptotic Abelianness, weak mixing, and property T, Admissibility conjecture and Kazhdan's property (T) for quantum groups, Invariant random subgroups of lamplighter groups, The amenability and non-amenability of skew fields, Projections in full \(C^*\)-algebras of semisimple Lie groups, Around property (T) for quantum groups, Superrigidity for irreducible lattices and geometric splitting, Modular actions and amenable representations, Property (\(T\)) and strong property (\(T\)) for unital \(C^*\)-algebras, Property \(T\) for discrete groups in terms of their regular representation

Cites Work

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