Classification of paragroup actions on subfactors

DOI10.2977/prims/1195164051zbMath0837.46046OpenAlexW1999191840MaRDI QIDQ1907057

Yasuyuki Kawahigashi

Publication date: 13 May 1996

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195164051

zbMATH Keywords

classificationbimodulesfusion algebrasrational conformal field theorycrossed product by a paragroup action on a subfactorOcneanu's paragroup

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Noncommutative dynamical systems (46L55) Subfactors and their classification (46L37)

Related Items (15)

The Classification of Subfactors with Index at Most 5\frac{1}4 ⋮ Subfactors of index less than 5. I: The principal graph odometer ⋮ Conformal quantum field theory and subfactors ⋮ SUBFACTORS OF INDEX LESS THAN 5, PART 4: VINES ⋮ Subalgebras of infinite \(C^*\)-algebras with finite Watatani indices. II: Cuntz-Krieger algebras ⋮ The classification of subfactors of index at most 5 ⋮ Subfactors of index less than 5. III: Quadruple points ⋮ Commuting squares and the classification of finite depth inclusions of AFD type \(\text{III}_\lambda\) factors, \(\lambda\in(0,1)\) ⋮ On Ocneanu's theory of double triangle algebras for subfactors and classification of irreducible connections on the Dynkin diagrams ⋮ Quantum Galois correspondence for subfactors ⋮ Algebraic coset conformal field theories. II ⋮ AMENABILITY AND STRONG AMENABILITY FOR FUSION ALGEBRAS WITH APPLICATIONS TO SUBFACTOR THEORY ⋮ Constructing spoke subfactors using the jellyfish algorithm ⋮ Free composition of paragroups ⋮ A NOTE ON COMMUTING SQUARES ARISING FROM AUTOMORPHISMS ON SUBFACTORS

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