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arxiv: 2606.03423 · v2 · pith:L2LSN5USnew · submitted 2026-06-02 · 🧮 math.OA · math.FA

Sharp hypercontractivity for free group von Neumann algebras

classification 🧮 math.OA math.FA
keywords algebrasfreegrouphypercontractivityneumannoptimalpoissonprove
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We prove that the Poisson semigroup on free group von Neumann algebras satisfies hypercontractivity with optimal time.

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