Property (T) for groups acting on simplicial complexes through taking an ``average of Laplacian eigenvalues

DOI10.4171/GGD/336zbMath1364.20031OpenAlexW2341183293MaRDI QIDQ902293

Izhar Oppenheim

Publication date: 8 January 2016

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

Full work available at URL: https://doi.org/10.4171/ggd/336

zbMATH Keywords

cohomologysimplicial complexLaplacianproperty (T)

Mathematics Subject Classification ID

Geometric group theory (20F65) Cohomology of groups (20J06) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Unitary representations of locally compact groups (22D10)

Related Items (2)

Group algebra criteria for vanishing of cohomology ⋮ A sixteen-relator presentation of an infinite hyperbolic Kazhdan group

Cites Work

• Unnamed Item
• Buildings and the geometry of diagrams. Lectures given at the 3rd 1984 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Como, Italy, August 26 - September 4, 1984
• On \(L^2\)-cohomology and property (T) for automorphism groups of polyhedral cell complexes
• New Kazhdan groups
• The nonexistence of certain generalized polygons
• Buildings

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