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.
Rigidity for graph product von
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Graph products of finite von Neumann algebras satisfying a Haagerup-type inequality admit L_p-bounded Hilbert transforms, with the inequality equivalent to generation by finite-dimensional algebras of uniformly bounded dimension, extending free-product results and answering Ozawa's compactness probl
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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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Hilbert transforms on graph products of finite von Neumann algebras
Graph products of finite von Neumann algebras satisfying a Haagerup-type inequality admit L_p-bounded Hilbert transforms, with the inequality equivalent to generation by finite-dimensional algebras of uniformly bounded dimension, extending free-product results and answering Ozawa's compactness probl