An Analogue of Longo's Canonical Endomorphism for Bimodule Theory and Its Application to Asymptotic Inclusions

DOI10.1142/S0129167X97000111zbMath0909.46044MaRDI QIDQ4338307

Toshihiko Masuda

Publication date: 8 April 1999

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

zbMATH Keywords

bimodule theoryinclusion of factors of type \(\text{II}_1\)Longo's canonical endomorphism

Mathematics Subject Classification ID

Classifications of (C^*)-algebras (46L35) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (13)

EXTENSION OF AUTOMORPHISMS OF A SUBFACTOR TO THE SYMMETRIC ENVELOPING ALGEBRA ⋮ Conformal quantum field theory and subfactors ⋮ CLASSIFICATION OF NONCOMMUTING QUADRILATERALS OF FACTORS ⋮ The exoticness and realisability of twisted Haagerup--Izumi modular data ⋮ SUBFACTOR REALIZATION OF MODULAR INVARIANTS: II ⋮ Generalization of Longo-Rehren construction to subfactors of infinite depth and amenability of fusion algebras ⋮ A quadrilateral in the Asaeda-Haagerup category ⋮ THE STRUCTURE OF SECTORS ASSOCIATED WITH LONGO–REHREN INCLUSIONS II: EXAMPLES ⋮ ON A SUBFACTOR ANALOGUE OF THE SECOND COHOMOLOGY ⋮ A Few Remarks on the Tube Algebra of a Monoidal Category ⋮ Bisognano-Wichmann property for rigid categorical extensions and non-local extensions of conformal nets ⋮ Orbifold aspects of the Longo--Rehren subfactors ⋮ From subfactors to categories and topology. II: The quantum double of tensor categories and subfactors

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