Isometric group actions on Banach spaces and representations vanishing at infinity

DOI10.1007/s00031-008-9006-0zbMath1149.22006arXivmath/0612398OpenAlexW1966907284MaRDI QIDQ941083

Romain Tessera, Alain Valette, Yves De Cornulier

Publication date: 4 September 2008

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612398

zbMATH Keywords

isometric representations1-cohomologyaffine isometriesvanishing of coefficients

Mathematics Subject Classification ID

Cohomology of groups (20J06) Discrete subgroups of Lie groups (22E40) Unitary representations of locally compact groups (22D10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items

Proper actions of wreath products and generalizations, Property \((T)\) and rigidity for actions on Banach spaces, Random groups, random graphs and eigenvalues of \(p\)-Laplacians, Embeddings of locally compact hyperbolic groups into \(L_{p}\)-spaces, Nonsingular Poisson suspensions, Proper affine isometric actions of hyperbolic groups on \(\ell^p\) spaces, On \(1\)-cocycles induced by a positive definite function on a locally compact abelian group, Roller boundaries for median spaces and algebras, One-cohomology and the uniqueness of the group measure space decomposition of a II\(_{1}\) factor, Isometric actions on L_p-spaces: dependence on the value of p, Analysis on simple Lie groups and lattices, Locally compact groups with every isometric action bounded or proper, Group cocycles and the ring of affiliated operators, Contracting automorphisms and \(L^p\)-cohomology in degree one, Analytic properties of approximate lattices, Irreducible lattices, invariant means, and commensurating actions, Banach space actions and \(L^2\)-spectral gap, Vanishing of the first reduced cohomology with values in an \(L^p\)-representation, Superrigidity of actions on finite rank median spaces, ON LENGTHS ON SEMISIMPLE GROUPS, Infinitely presented small cancellation groups have the Haagerup property

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