Cohomology of deformations

DOI10.1142/S1793525315500041zbMath1308.22003arXiv1401.5362OpenAlexW2964323286MaRDI QIDQ5496336

Uri Bader, Piotr W. Nowak

Publication date: 30 January 2015

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.5362

zbMATH Keywords

cohomologyBanach modulesdeformations of representations.

Mathematics Subject Classification ID

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

Related Items (6)

Higher Kazhdan projections, \(\ell_2\)-Betti numbers and Baum-Connes conjectures ⋮ Group algebra criteria for vanishing of cohomology ⋮ Kazhdan projections, random walks and ergodic theorems ⋮ Fixed-point spectrum for group actions by affine isometries on \(L_p\)-spaces ⋮ STABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPS ⋮ A local characterization of Kazhdan projections and applications

Cites Work

• A fixed point theorem for \(L ^{1}\) spaces
• On \(L^2\)-cohomology and property (T) for automorphism groups of polyhedral cell complexes
• Cohomology of buildings and of their automorphism groups.
• On Ulam stability
• Automorphism groups of simplicial complexes and rigidity for uniformly bounded representations
• Property \((T)\) and rigidity for actions on Banach spaces
• On discrete subgroups of Lie groups. I, II
• Almost isometric actions, property (T), and local rigidity
• Property \((T)\) for noncommutative universal lattices

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