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

Izhar Oppenheim

doi:10.4171/CMH/415

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

Izhar Oppenheim

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

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 language	American English
Pages (from-to)	389-428
Number of pages	40
Journal	Commentarii Mathematici Helvetici
Volume	92
Issue number	2
DOIs	https://doi.org/10.4171/CMH/415
State	Published - 1 Jan 2017

Keywords

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

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4171/CMH/415

Cite this

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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.",

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KW - Representations in Banach spaces

KW - Vanishing of cohomology

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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