Vanishing of cohomology with coefficients in representations on Banach spaces of groups acting on buildings

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Abstract

We prove vanishing of cohomology with coefficients in representations on a large class of Banach spaces for a group acting "nicely" on a simplicial complexes based on spectral properties of the 1-dimensional links of the simplicial complex.

Original languageEnglish
Pages (from-to)389-428
Number of pages40
JournalCommentarii Mathematici Helvetici
Volume92
Issue number2
DOIs
StatePublished - 1 Jan 2017

Keywords

  • Angle between projections
  • BN pair
  • Group cohomology
  • Representations in Banach spaces
  • Vanishing of cohomology

ASJC Scopus subject areas

  • Mathematics (all)

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