Property $(T)$ and rigidity for actions on Banach spaces

DOI10.1007/s11511-007-0013-0zbMath1162.22005arXivmath/0506361OpenAlexW3102305260MaRDI QIDQ2370129

Alex Furman, Uri Bader, Nicolas Monod, Tsachik Gelander

Publication date: 22 June 2007

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506361

zbMATH Keywords

rigidity invariant vectors Kazhdan's property (T)higher-rank groups group actions on Banach spaces Howe-Moore theorem.Serre's fixed-point property (FH)superreflexive topological spaces uniformly convex/uniformly smooth Banach spaces

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Ergodic theory on groups (22D40) Discrete subgroups of Lie groups (22E40) Group actions and symmetry properties (58D19) Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Rigidity results (53C24) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Other representations of locally compact groups (22D12) Kazhdan's property (T), the Haagerup property, and generalizations (22D55)

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Property \((T)\) and rigidity for actions on Banach spaces