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TMF, 2024 Volume 218, Number 1, Pages 88–101 (Mi tmf10540)

A characterization of Gibbs semigroups

V. A. Zagrebnova, B. Iochumb

a Institut de Mathématiques de Marseille – CMI, Université Aix-Marseille, CNRS, Marseille, France
b Centre de Physique Théorique, Université Aix-Marseille, Université de Toulon, CNRS, Marseille, France

Abstract: We propose a new characterization of Gibbs semigroups, which is an extension of a similar characterization for compact semigroups.

Keywords: semigroup theory, compact semigroups, Gibbs semigroups, trace asymptotics.

Received: 22.05.2023
Revised: 22.05.2023

DOI: 10.4213/tmf10540


 English version:
Theoretical and Mathematical Physics, 2024, 218:1, 75–86

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© Steklov Math. Inst. of RAS, 2024