Classification of right-angled Coxeter groups with a strongly solid von Neumann algebra
Matthijs Borst (TU Delft - Electrical Engineering, Mathematics and Computer Science)
Martijn Caspers (TU Delft - Electrical Engineering, Mathematics and Computer Science)
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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.
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