Quantum multiple construction of subfactors

Details Quantum multiple construction of subfactors Quantum multiple construction of subfactors

2006-02-13

arxiv.org/abs/math/0602265v2

Mathematics

Operator Algebras

16 pages. Revised according to referee's comments. To appear in the Canadian Mathematical Bulletin

Scientific paper

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.

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