Work

Heat semigroups on quantum automorphism groups of finite dimensional C*-algebras

Year: 2026

Type: article

Abstract: In this paper, we investigate heat semigroups on a quantum automorphism group Aut + ( B ) of a finite dimensional C*-algebra B and its Plancherel trace. We show ultracontractivity, hypercontractivity, and the spectral gap inequality of the heat semigroups on Aut + ( B ) . Furthermore, we obtain the sharpness of the Sobolev embedding property and the Hausdorff–Young inequality of Aut + ( B ) .

Source: Annales mathématiques Blaise Pascal

DOI: 10.5802/ambp.445

Author: Futaba Sato

Institution: The University of Tokyo

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Japan Science and Technology Agency

Award: 理研-バークレー数理量子科学イニシアティブ