THE STRUCTURE OF SECTORS ASSOCIATED WITH LONGO–REHREN INCLUSIONS II: EXAMPLES-Reference-Cited by-同舟云学术

THE STRUCTURE OF SECTORS ASSOCIATED WITH LONGO–REHREN INCLUSIONS II: EXAMPLES

Published:2001-05 Issue:05 Volume:13 Page:603-674
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

IZUMI MASAKI¹

Affiliation:

1. Department of Mathematics, Graduate School of Science, Kyoto University, Sakyo-ku, Kyoto 606-8502, Japan

Abstract

As an application of the general theory established in the first part, we determine the structure of Longo–Rehren inclusions for several systems of sectors arising from endomorphisms of the Cuntz algebras. The E6 subfactor and the Haagerup subfactor are included among these examples, and the dual principal graphs and the S and T-matrices for their Longo–Rehren inclusions are obtained. We also construct several new subfactors using endomorphisms of the Cuntz algebras, and determine their tube algebra structure.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X01000818

Reference21 articles.

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3. Modular Invariants from Subfactors:¶Type I Coupling Matrices and Intermediate Subfactors

4. On α-Induction, Chiral Generators and¶Modular Invariants for Subfactors

5. Chiral Structure of Modular Invariants for Subfactors

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