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

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

2 Scopus citations

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	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

ASJC Scopus subject areas

Geometry and Topology
Discrete Mathematics and Combinatorics

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10.4171/GGD/336

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title = "Property (T) for groups acting on simplicial complexes through taking an {"}average{"} of Laplacian eigenvalues",

abstract = "This article generalizes the {\.Z}uk's criterion for property (T) and gives new criteria for property (T) (and for vanishing of higher L2-cohomologies).",

keywords = "Cohomology, Laplacian, Property (T), Simplicial complex",

author = "Izhar Oppenheim",

note = "Publisher Copyright: {\textcopyright} European Mathematical Society.",

year = "2015",

month = jan,

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doi = "10.4171/GGD/336",

language = "English",

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AU - Oppenheim, Izhar

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N2 - This article generalizes the Żuk's criterion for property (T) and gives new criteria for property (T) (and for vanishing of higher L2-cohomologies).

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

KW - Cohomology

KW - Laplacian

KW - Property (T)

KW - Simplicial complex

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

Abstract

Keywords

ASJC Scopus subject areas

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