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· arXiv 2505.05179

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Hilbert transforms on graph products of finite von Neumann algebras

math.OA · 2026-06-30 · unverdicted · novelty 6.0

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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  • Hilbert transforms on graph products of finite von Neumann algebras math.OA · 2026-06-30 · unverdicted · none · ref 7

    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