The Annular Structure of Subfactors
Operator Algebras
2007-05-23 v1 Quantum Algebra
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 and subfactors.
Cite
@article{arxiv.math/0105071,
title = {The Annular Structure of Subfactors},
author = {Vaughan F. R. Jones},
journal= {arXiv preprint arXiv:math/0105071},
year = {2007}
}
Comments
62 pages, includes 2 tables and 24 figures, to be published in L'Enseignement Mathematique