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

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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 languageEnglish
Pages (from-to)1131-1152
Number of pages22
JournalGroups, Geometry, and Dynamics
Volume9
Issue number4
DOIs
StatePublished - 1 Jan 2015

Keywords

  • Cohomology
  • Laplacian
  • Property (T)
  • Simplicial complex

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