Property (T) for groups acting on simplicial complexes through taking an ``average'' of Laplacian eigenvalues
type: Item
instance of: scholarly article
title: Property (T) for groups acting on simplicial complexes through taking an ``average'' of Laplacian eigenvalues
zbMATH Open document ID: 1364.20031
DOI: 10.4171/GGD/336
author: Izhar Oppenheim
published in: Groups, Geometry, and Dynamics
publication date: 2016-01-08T00:00:00Z
review text: Summary: This article generalizes the \textit{A. Żuk}'s criterion for property (T) [C. R. Acad. Sci., Paris, Sér. I 323, No. 5, 453--458 (1996; Zbl 0858.22007)] and gives new criteria for property (T) (and for vanishing of higher \(L^2\)-cohomologies).
Mathematics Subject Classification ID: 20F65
Mathematics Subject Classification ID: 05C25
Mathematics Subject Classification ID: 22D10
Mathematics Subject Classification ID: 20J06
zbMATH DE Number: 6527623
zbMATH Keywords: property (T)
zbMATH Keywords: cohomology
zbMATH Keywords: simplicial complex
zbMATH Keywords: Laplacian
MaRDI profile type: Publication
cites work: Buildings
cites work: On \(L^2\)-cohomology and property (T) for automorphism groups of polyhedral cell complexes
cites work: Q3502037
cites work: New Kazhdan groups
cites work: The nonexistence of certain generalized polygons
cites work: 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
full work available at URL: https://doi.org/10.4171/ggd/336
OpenAlex ID: W2341183293
description: scientific article; zbMATH DE number 6527623