The Annular Structure of Subfactors

Details The Annular Structure of Subfactors The Annular Structure of Subfactors

2001-05-09

arxiv.org/abs/math/0105071v1

Mathematics

Operator Algebras

62 pages, includes 2 tables and 24 figures, to be published in L'Enseignement Mathematique

Scientific paper

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.

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