Group algebra criteria for vanishing of cohomology

Uri Bader; Piotr W. Nowak

doi:10.1016/j.jfa.2020.108730

Group algebra criteria for vanishing of cohomology

Uri Bader, Piotr W. Nowak

Weizmann Institute of Science, Technion - Israel Institute of Technology

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

Abstract

Given a group satisfying sufficient finiteness properties, we discuss a group algebra criterion for vanishing of all its cohomology groups with unitary coefficients in a certain degree.

Original language	English
Article number	108730
Number of pages	18
Journal	Journal of Functional Analysis
Volume	279
Issue number	11
Early online date	6 Aug 2020
DOIs	https://doi.org/10.1016/j.jfa.2020.108730
State	Published - 15 Dec 2020

Keywords

Cohomology with coefficients in unitary representations
Group algebra
Property (T)

All Science Journal Classification (ASJC) codes

Analysis

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10.1016/j.jfa.2020.108730

https://arxiv.org/abs/2001.10185License: Other

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title = "Group algebra criteria for vanishing of cohomology",

abstract = "Given a group satisfying sufficient finiteness properties, we discuss a group algebra criterion for vanishing of all its cohomology groups with unitary coefficients in a certain degree.",

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AU - Nowak, Piotr W.

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KW - Cohomology with coefficients in unitary representations

KW - Group algebra

KW - Property (T)

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M3 - مقالة

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JO - Journal of Functional Analysis

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IS - 11

M1 - 108730

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Group algebra criteria for vanishing of cohomology

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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