Planar algebras, I
Quantum Algebra
2007-05-23 v1 Operator Algebras
Abstract
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.
Cite
@article{arxiv.math/9909027,
title = {Planar algebras, I},
author = {Vaughan F. R. Jones},
journal= {arXiv preprint arXiv:math/9909027},
year = {2007}
}
Comments
122 pages