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Subfactors and planar algebras

2003/04/22 by Dietmar Bisch
Mathematics · #math.OA #msc:46L37 #msc:46L60 #msc:82B20 #msc:81T05

paper · pdf

published as Proceedings of the ICM, Beijing 2002, vol. 2, 775--786

arxiv created 2003/04/22 · arxiv updated 2009/11/30

Abstract

An inclusion of II1 factors N ⊂ M with finite Jones index gives rise to a powerful set of invariants that can be approached successfully in a number of different ways. We describe Jones' pictorial description of the standard invariant of a subfactor as a so-called planar algebra and show how this point of view leads to new structure results for subfactors.

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