Poincaré inequalities and rigidity for actions on Banach spaces

DOI10.4171/JEMS/514zbMath1396.22001arXiv1107.1896OpenAlexW2963820106MaRDI QIDQ2018250

Piotr W. Nowak

Publication date: 13 April 2015

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.1896

zbMATH Keywords

Poincaré inequality1-cohomologyKazhdan's property (T)affine isometric action

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Other representations of locally compact groups (22D12)

Related Items (8)

Random groups, random graphs and eigenvalues of \(p\)-Laplacians ⋮ Żuk’s criterion for Banach spaces and random groups ⋮ Garland's method with Banach coefficients ⋮ Property \(F\ell_q\) implies property \(F\ell_{p}\) for \(1<p<q<\infty\) ⋮ Automorphism groups of simplicial complexes and rigidity for uniformly bounded representations ⋮ Kazhdan projections, random walks and ergodic theorems ⋮ Snowflake universality of Wasserstein spaces ⋮ Banach space actions and \(L^2\)-spectral gap

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