Sharp hypercontractivity for free orthogonal quantum groups of Kac type

Haonan Zhang

Sharp hypercontractivity for free orthogonal quantum groups of Kac type

Operator Algebras 2026-06-29 v1 Functional Analysis

Authors: Haonan Zhang

Abstract

We prove that the heat semigroup on the free orthogonal quantum group $O_F^+$ of Kac type satisfies hypercontractivity with the optimal time.

Cite

@article{arxiv.2606.29694,
  title  = {Sharp hypercontractivity for free orthogonal quantum groups of Kac type},
  author = {Haonan Zhang},
  journal= {arXiv preprint arXiv:2606.29694},
  year   = {2026}
}

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16 pages