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

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6 Scopus citations

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 languageEnglish
Pages (from-to)67-101
Number of pages35
JournalGroups, Geometry, and Dynamics
Volume9
Issue number1
DOIs
StatePublished - 1 Jan 2015
Externally publishedYes

Keywords

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

ASJC Scopus subject areas

  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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