Restrictions of unitary representations to lattices and associated \(C^*\)-algebras

DOI10.1006/jfan.1996.2963zbMath0883.22006OpenAlexW1976952768MaRDI QIDQ677465

Mohammed El Bachir Bekka

Publication date: 23 February 1998

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

Full work available at URL: https://doi.org/10.1006/jfan.1996.2963

zbMATH Keywords

Lie groupssemisimple Lie groupsunitary representationsirreducible unitary representations\(C^*\)-algebraslatticesweak containmenttraces on \(C^*\)--algebras

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Discrete subgroups of Lie groups (22E40) Positive definite functions on groups, semigroups, etc. (43A35) Character groups and dual objects (43A40)

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Stationary characters on lattices of semisimple Lie groups, Explicit Kazhdan constants for representations of semisimple and arithmetic groups, On simplicity of reduced C*-algebras of groups, On the structure of certain \(C^*\)-algebras associated to lattices of \(\text{PSL}_2(\mathbb{R})\)