Vanishing of cohomology and property (T) for groups acting on weighted simplicial complexes

DOI10.4171/GGD/306zbMath1364.20030arXiv1110.5724OpenAlexW1970229767MaRDI QIDQ2347646

Izhar Oppenheim

Publication date: 5 June 2015

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.5724

zbMATH Keywords

simplicial complexescontinuous cohomologygraph LaplacianKazhdan property (T)Garland's method

Mathematics Subject Classification ID

Geometric group theory (20F65) Cohomology of groups (20J06) Topological methods in group theory (57M07) Unitary representations of locally compact groups (22D10) Continuous cohomology of Lie groups (22E41)

Related Items (8)

Żuk’s criterion for Banach spaces and random groups ⋮ High dimensional expanders and coset geometries ⋮ Property (\(T\)) for Kac-Moody groups over rings ⋮ Unnamed Item ⋮ Group algebra criteria for vanishing of cohomology ⋮ Automorphism groups of simplicial complexes and rigidity for uniformly bounded representations ⋮ High order random walks: beyond spectral gap ⋮ STABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Subspace arrangements and property T.
• On \(L^2\)-cohomology and property (T) for automorphism groups of polyhedral cell complexes
• Cohomology of buildings and of their automorphism groups.
• Random walk in random groups.
• New Kazhdan groups
• A fixed point theorem of discrete group actions on Riemannian manifolds
• p-adic curvature and the cohomology of discrete subgroups of p-adic groups

This page was built for publication: Vanishing of cohomology and property (T) for groups acting on weighted simplicial complexes