Planar algebras
Vaughan F. R. Jones
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 II1 factor, and vice versa.
Topics & Concepts
PlanarMathematicsPure mathematicsAlgebra over a fieldVersaVector spaceSpace (punctuation)Computer scienceComputer graphics (images)Operating systemDatabaseAdvanced Graph Theory ResearchMatrix Theory and AlgorithmsAdvanced Topics in Algebra