Group algebra criteria for vanishing of cohomology

2020/01/28 by Uri Bader, Bader, Uri, Piotr W. Nowak +1 · 4 citations
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA) #math.GR #math.OA

paper · pdf · doi:10.48550/arxiv.2001.10185

Final version, to appear in the Journal of Functional Analysis

arxiv created 2020/08/05 · arxiv updated 2020/08/07

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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