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18th International Conference on Operator Theory
June 27 - July 1, 2000
University of the West
Timisoara, Romania

Organizers
Dumitru Gaspar, Traian Ceausu, Aurelian Craciunescu, Aurelian Gheondea, Radu-Nicolae Gologan, Ciprian Pop, Dan Popovici, Nicolae Suciu, Alexandru Terescenco, Dan Timotin, Flavius Turcu

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Alpha-induction and Longo-Rehren subfactors
by
Yasuyuki Kawahigashi
Dept Math Sciences, University of Tokyo

Alpha-induction is a method of extending endomorphisms from a subfactor to a larger factor using a braiding. It has been defined by Longo-Rehren and studied and applied by Xu, Bockenhauer, Evans and myself. Longo-Rehren subfactors give certain analogues of the quantum double construction of Drinfeld in the subfactor setting and produce the same categorical data as Ocneanu's asymptotic inclusions. Izumi found analogies between alpha-induction and Longo-Rehren subfactors, and made various detailed analysis. I will talk about these two constructions and their relations to topological quantum field theory and modular invariants.

Date received: June 13, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caeo-60.