A characterization of relative Kazhdan property T for semidirect products with abelian groups

DOI10.1017/S0143385710000271zbMath1222.22005arXiv0911.3371OpenAlexW2168903481MaRDI QIDQ3012881

Romain Tessera, Yves De Cornulier

Publication date: 7 July 2011

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.3371

zbMATH Keywords

unitary representationlocally compact groupDirac measuresemidirect productKazhdan's property TPontryagin dualinvariant vector\(H\)-invariant mean

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Automorphism groups of groups (20F28)

Related Items (8)

Property (T) for fiber products ⋮ \(\operatorname{SL}_2\) representations and relative property (T) ⋮ Rigidity for group actions on homogeneous spaces by affine transformations ⋮ Property (\(T\)) for Kac-Moody groups over rings ⋮ The Baum–Connes conjecture: an extended survey ⋮ Relative Property (T) for nilpotent subgroups ⋮ Relative property (T) for the subequivalence relations induced by the action of SL\(_2(\mathbb Z)\) on \(\mathbb T^2\) ⋮ LOCALLY COMPACT WREATH PRODUCTS

Cites Work

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• Connection of the dual space of a group with the structure of its closed subgroups
• Kazhdan constants for SL (3, Z).
• Unbounded Negative Definite Functions
• Invariant measures for algebraic actions, Zariski dense subgroups and Kazhdan’s property (T)
• Bounded generation and Kazhdan's property (T)

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