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

  • Izhar Oppenheim

    Ben Gurion University of the Negev, Be'er Sheva, Israel
Vanishing of cohomology with coefficients in representations on Banach spaces of groups acting on buildings cover
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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.

Cite this article

Izhar Oppenheim, Vanishing of cohomology with coefficients in representations on Banach spaces of groups acting on buildings. Comment. Math. Helv. 92 (2017), no. 2, pp. 389–428

DOI 10.4171/CMH/415