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

Izhar Oppenheim

doi:10.4171/GGD/306

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

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

Abstract

We extend Ballmann and ͆wiatkowski's work on cohomology of groups acting on simplicial complexes and provide further vanishing results of cohomologies and of property (T). In particular, we give a new criterion for property (T) for groups acting on an n-dimensional simplicial complex.

Original language	American English
Pages (from-to)	67-101
Number of pages	35
Journal	Groups, Geometry, and Dynamics
Volume	9
Issue number	1
DOIs	https://doi.org/10.4171/GGD/306
State	Published - 1 Jan 2015
Externally published	Yes

Keywords

Continuous cohomology
Garland's method
Graph Laplacian
Kazhdan property (T)
Simplicial complexes

All Science Journal Classification (ASJC) codes

Geometry and Topology
Discrete Mathematics and Combinatorics

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10.4171/GGD/306

Cite this

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abstract = "We extend Ballmann and ͆wiatkowski's work on cohomology of groups acting on simplicial complexes and provide further vanishing results of cohomologies and of property (T). In particular, we give a new criterion for property (T) for groups acting on an n-dimensional simplicial complex.",

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KW - Simplicial complexes

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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