Classification of right-angled Coxeter groups with a strongly solid von Neumann algebra

Journal article (2024)

Authors

M.J. Borst Analysis - EEMCS
M.P.T. Caspers Analysis - EEMCS
Research Group
Analysis (EEMCS) (TU Delft)
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Published Date

2024

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

Abstract

Let W be a finitely generated right-angled Coxeter group with group von Neumann algebra L(W). We prove the following dichotomy: either L(W) is strongly solid or W contains Z×F2 as a subgroup. This proves in particular strong solidity of L(W) for all non-hyperbolic Coxeter groups that do not contain Z×F2.