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Commentarii Mathematici Helvetici


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Volume 92, Issue 2, 2017, pp. 389–428
DOI: 10.4171/CMH/415

Published online: 2017-05-22

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

Izhar Oppenheim[1]

(1) Ben Gurion University of the Negev, Be'er Sheva, Israel

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.

Keywords: Group cohomology, vanishing of cohomology, representations in Banach spaces, BN pair, angle between projections

Oppenheim Izhar: Vanishing of cohomology with coefficients in representations on Banach spaces of groups acting on buildings. Comment. Math. Helv. 92 (2017), 389-428. doi: 10.4171/CMH/415