Centrally free actions of amenable C*-tensor categories on von Neumann algebras

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Centrally free actions of amenable C*-tensor categories on von Neumann algebras

수리과학부 0 4158
구분 작용소 세미나
일정 2019-11-13(수) 16:00~18:00
세미나실 129동 301호
강연자 Reiji Tomatsu (Hokkaido University)
담당교수 이훈희
기타
We will introduce the Rohlin property for a centrally free cocycle action of an amenable C*-tensor category on a von Neumann algebra. Our main result says two centrally free cocycle actions are cocycle conjugate if they are approximately unitarily equivalent. This generalizes the classification of them due to Izumi and Masuda for a fusion category and a strongly amenable C*-tensor category, respectively. We also discuss how we can recover Popa`s celebrated classification result of amenable subfactors.

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