Longo-Rehren subfactors arising from $α$-induction

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dc.creatorBöckenhauer, J.
dc.creatorEvans, D. E.
dc.creatorKawahigashi, Y.
dc.date2000-02-18
dc.date.accessioned2026-07-07T04:33:57Z
dc.date.available2026-07-07T04:33:57Z
dc.descriptionWe 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.
dc.description31 pages, latex
dc.identifierhttps://arxiv.org/abs/math/0002154
dc.identifierhttp://arxiv.org/abs/math/0002154
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58721
dc.subjectOperator Algebras
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subject46L37 (Primary) 81T40, 81T05 (Secondary)
dc.titleLongo-Rehren subfactors arising from $α$-induction
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