The Annular Structure of Subfactors

Given a planar algebra we show the equivalence of the notions of a module over this algebra (in the operadic sense), and module over a universal annular algebra. We classify such modules, with invariant inner products, in the generic region and give applications to subfactorss, including a planar co...

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Bibliographic Details
Published in:arXiv.org 2001-05
Main Author: Jones, Vaughan F R
Format: Article
Language:English
Subjects:
Algebra
Construction planning
Modules
Online Access:Get full text
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Summary:Given a planar algebra we show the equivalence of the notions of a module over this algebra (in the operadic sense), and module over a universal annular algebra. We classify such modules, with invariant inner products, in the generic region and give applications to subfactorss, including a planar construction of the \(E_6\) and \(E_8\) subfactors.
ISSN:2331-8422