Subfactors and planar algebras

Details Subfactors and planar algebras Subfactors and planar algebras

2003-04-22

arxiv.org/abs/math/0304340v1

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

Mathematics

Operator Algebras

Scientific paper

An inclusion of II$_1$ factors $N \subset M$ 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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