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The Annular Structure of Subfactors

Vaughan F. R. Jones
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Abstract

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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Vaughan F. R. Jones. 2001-05-09. The Annular Structure of Subfactors. https://arxiv.org/abs/math/0105071

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