Fixed point properties and second bounded cohomology of universal lattices on Banach spaces

DOI10.1515/CRELLE.2011.021zbMath1221.20032arXiv0904.4650OpenAlexW3099667976MaRDI QIDQ3002716

Masato Mimura

Publication date: 24 May 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.4650

zbMATH Keywords

cohomologyrepresentationsKazhdan property (T)affine isometric actionsglobal fixed pointsgroup actions on Banach spacesaffine quasi-actions

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Other matrix groups over rings (20H25) Cohomology theory for linear algebraic groups (20G10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items

Banach property (T) for \(\mathrm{SL}_n (\mathbb{Z})\) and its applications ⋮ Uniformly bounded representations and exact groups ⋮ Property \(F\ell_q\) implies property \(F\ell_{p}\) for \(1<p<q<\infty\) ⋮ On strong property (T) and fixed point properties for Lie groups ⋮ Superrigidity from Chevalley groups into acylindrically hyperbolic groups via quasi-cocycles ⋮ Fixed point property for universal lattice on Schatten classes ⋮ Poincaré inequalities and rigidity for actions on Banach spaces ⋮ Analytic properties of approximate lattices ⋮ Fixed-point spectrum for group actions by affine isometries on \(L_p\)-spaces ⋮ Banach space actions and \(L^2\)-spectral gap

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