Planar algebras, I
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 September 1999
 arXiv:
 arXiv:math/9909027
 Bibcode:
 1999math......9027J
 Keywords:

 Quantum Algebra;
 Operator Algebras
 EPrint:
 122 pages