Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III

DOI10.1016/j.jfa.2009.11.014zbMath1194.46092arXiv0806.4259OpenAlexW1997849080MaRDI QIDQ2267511

Reiji Tomatsu, Toshihiko Masuda

Publication date: 1 March 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.4259

zbMATH Keywords

operator algebraminimal actionfactor of type IIIcompact Kac algebra

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classification of factors (46L36)

Related Items (10)

Rohlin flows on von Neumann algebras ⋮ Classification of actions of discrete Kac algebras on injective factors ⋮ Approximate unitary equivalence of finite index endomorphisms of AFD factors ⋮ Compact Lie group action with the continuous Rokhlin property ⋮ Actions of groups and quantum groups on amenable factors ⋮ Centrally free actions of amenable \(\mathrm{C}^*\)-tensor categories on von Neumann algebras ⋮ On the relative bicentralizer flows and the relative flow of weights of inclusions of factors of type \(\text{III}_1\) ⋮ Locally compact separable abelian group actions on factors with the Rokhlin property ⋮ Approximate innerness and central triviality of endomorphisms ⋮ Classification of Roberts actions of strongly amenable C∗-tensor categories on the injective factor of type III₁

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