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The Annular Structure of Subfactors

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arxiv math/0105071 v1 pith:AK7JINEP submitted 2001-05-09 math.OA math.QA

Vaughan F. R. Jones This is my paper
classification math.OAmath.QA
keywords algebraannularmoduleplanarsubfactorsapplicationsclassifyconstruction
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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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  1. Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order

    hep-th 2026-08 conditional novelty 7.0 of 10

    Codimension-2 defects in 2+1D topological order are classified by representations of new comodule tube algebras over the weak Hopf tube algebras of boundary and domain wall excitations.

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