Corpus ID: 118183121

The Annular Structure of Subfactors

@article{Jones2001TheAS,
  title={The Annular Structure of Subfactors},
  author={V. Jones},
  journal={arXiv: Operator Algebras},
  year={2001}
}
  • V. Jones
  • Published 2001
  • Mathematics
  • arXiv: Operator Algebras
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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