Planar algebras, I

Details Planar algebras, I Planar algebras, I

1999-09-04

arxiv.org/abs/math/9909027v1

Mathematics

Quantum Algebra

122 pages

Scientific paper

We introduce a notion of planar algebra, the simplest example of which is a
vector space of tensors, closed under planar contractions. A planar algebra
with suitable positivity properties produces a finite index subfactor of a II_1
factor, and vice versa.

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