Quantum multiple construction of subfactors
Operator Algebras
2007-05-23 v2 Quantum Algebra
Abstract
We construct the quantum s-tuple subfactors for an AFD II_1 subfactor with finite index and depth, for an arbitrary natural number s. This is a generalization of the quantum multiple subfactors by J.Erlijman and H.Wenzl, which generalizes the quantum double construction of a subfactor for the case that the original subfactor gives rise to a braided tensor category. In this paper we give a multiple construction for a subfactor with a weaker condition than braidedness of the bimodule system.
Keywords
Cite
@article{arxiv.math/0602265,
title = {Quantum multiple construction of subfactors},
author = {Marta Asaeda},
journal= {arXiv preprint arXiv:math/0602265},
year = {2007}
}
Comments
16 pages. Revised according to referee's comments. To appear in the Canadian Mathematical Bulletin