Canonical extension of endomorphisms of type III factors

DOI10.1353/AJM.2003.0003zbMath1037.46054arXivmath/0104228OpenAlexW2036544589MaRDI QIDQ4808048

Masaki Izumi

Publication date: 2003

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0104228

zbMATH Keywords

canonical extensiontype III factorsergodic transformation groupscompact groups actionsendomorphisms with finite statistical dimensionRoberts actions

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Subfactors and their classification (46L37) Classifications of (C^*)-algebras (46L35)

Related Items (16)

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 ⋮ Classification of minimal actions of a compact Kac algebra with amenable dual ⋮ 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 \(\text{III}_1\) ⋮ Representations of fusion categories and their commutants ⋮ Canonical extension of actions of locally compact quantum groups. ⋮ Product type actions of \(G_q\) ⋮ A characterization of a coaction reduced to that of a closed subgroup ⋮ Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III ⋮ A classification of flows on AFD factors with faithful Connes–Takesaki modules ⋮ Approximate innerness and central triviality of endomorphisms ⋮ Classification of Roberts actions of strongly amenable C∗-tensor categories on the injective factor of type III₁ ⋮ Structure of bicentralizer algebras and inclusions of type III factors

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