Longo-Rehren subfactors arising from $α$-induction

Details Longo-Rehren subfactors arising from $α$-induction Longo-Rehren subfactors arising from $α$-induction

2000-02-18

arxiv.org/abs/math/0002154v1

Mathematics

Operator Algebras

31 pages, latex

Scientific paper

We study (dual) Longo-Rehren subfactors $M\otimes M^{opp} \subset R$ arising from various systems of endomorphisms of M obtained from alpha-induction for some braided subfactor $N\subset M$. Our analysis provides useful tools to determine the systems of R-R morphisms associated with such Longo-Rehren subfactors, which constitute the ``quantum double'' systems in an appropriate sense. The key to our analysis is that alpha-induction produces half-braidings in the sense of Izumi, so that his general theory can be applied. Nevertheless, alpha-induced systems are in general not braided, and thus our results allow to compute the quantum doubles of (certain) systems without braiding. We illustrate our general results by several examples, including the computation of the quantum double systems for the asymptotic inclusion of the E_8 subfactor as well as its three analogues arising from conformal inclusions of SU(3)_k.

Affiliated with

Also associated with

No associations

Rating

Longo-Rehren subfactors arising from $α$-induction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Longo-Rehren subfactors arising from $α$-induction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Longo-Rehren subfactors arising from $α$-induction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-459859