Criteria for property (T) for groups acting on simplicial complexes

Details Criteria for property (T) for groups acting on simplicial complexes Criteria for property (T) for groups acting on simplicial complexes

2011-11-06

arxiv.org/abs/1111.1385v2

Mathematics

Group Theory

Scientific paper

This article has two main results: the first is a generalization of \.{Z}uk's
criterion for property (T) and the second is a generalization of the work of
Kassabov regarding property (T) and subspace arrangements. In both cases we
obtain new criteria for property (T) (and for vanishing of higher
$L^2$-cohomologies).

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