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

Izhar Oppenheim

doi:10.4171/GGD/336

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

Izhar Oppenheim

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

This article generalizes the Żuk's criterion for property (T) and gives new criteria for property (T) (and for vanishing of higher L²-cohomologies).

Original language	American English
Pages (from-to)	1131-1152
Number of pages	22
Journal	Groups, Geometry, and Dynamics
Volume	9
Issue number	4
DOIs	https://doi.org/10.4171/GGD/336
State	Published - 1 Jan 2015

Keywords

Cohomology
Laplacian
Property (T)
Simplicial complex

All Science Journal Classification (ASJC) codes

Geometry and Topology
Discrete Mathematics and Combinatorics

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10.4171/GGD/336

Cite this

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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