ON OCNEANU'S THEORY OF ASYMPTOTIC INCLUSIONS FOR SUBFACTORS, TOPOLOGICAL QUANTUM FIELD THEORIES AND QUANTUM DOUBLES

DOI10.1142/S0129167X95000468zbMath0820.46059OpenAlexW1986451239MaRDI QIDQ4833969

Yasuyuki Kawahigashi, David E. Evans

Publication date: 25 June 1995

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

Full work available at URL: https://doi.org/10.1142/s0129167x95000468

zbMATH Keywords

two-dimensional torusOcneanu's theoremfinite depth subfactorTuraev-dimensional topological quantum field theoryVerlinde identity

Mathematics Subject Classification ID

Related Items (21)

Drinfeld center and representation theory for monoidal categories ⋮ Quantum Galois groups of subfactors ⋮ Frobenius-Schur indicators and exponents of spherical categories. ⋮ Bulk-to-boundary anyon fusion from microscopic models ⋮ A remark on matrix product operator algebras, anyons and subfactors ⋮ Asymptotic density of states in 2d CFTs with non-invertible symmetries ⋮ ON THE PLANAR ALGEBRA OF OCNEANU'S ASYMPTOTIC INCLUSION ⋮ Trace decategorification of categorified quantum \(\mathfrak {sl}_2\) ⋮ \((2+1)\)-dimensional topological quantum field theory from subfactors and Dehn surgery formula for 3-manifold invariants ⋮ 3-MANIFOLD INVARIANTS FROM COSETS ⋮ Anyons and matrix product operator algebras ⋮ On Ocneanu's theory of double triangle algebras for subfactors and classification of irreducible connections on the Dynkin diagrams ⋮ THE STRUCTURE OF SECTORS ASSOCIATED WITH LONGO–REHREN INCLUSIONS II: EXAMPLES ⋮ Fermion condensation and super pivotal categories ⋮ From a Kac algebra subfactor to Drinfeld double ⋮ A Few Remarks on the Tube Algebra of a Monoidal Category ⋮ Two-dimensional topological order and operator algebras ⋮ Jones index theory by Hilbert C*-bimodules and K-theory ⋮ Orbifold aspects of the Longo--Rehren subfactors ⋮ From subfactors to categories and topology. II: The quantum double of tensor categories and subfactors ⋮ Invariants of knots and 3-manifolds from quantum groupoids

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