A new upgrade theorem for relative biexactness under mixing conditions yields a classification of biexactness for graph products of finite-dimensional von Neumann algebras, extending prior results.
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Von Neumann algebras of Artin groups encode the number of connected components of their defining graphs except possibly for free-group-factor cases; a similar result holds for Coxeter groups absent relative hyperbolicity.
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Relative biexactness and mixing in von Neumann algebras
A new upgrade theorem for relative biexactness under mixing conditions yields a classification of biexactness for graph products of finite-dimensional von Neumann algebras, extending prior results.
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On free components of Artin and Coxeter groups
Von Neumann algebras of Artin groups encode the number of connected components of their defining graphs except possibly for free-group-factor cases; a similar result holds for Coxeter groups absent relative hyperbolicity.