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

Published 27 Dec 2015 in math.GR and math.FA | (1512.08188v2)

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.

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