Planar algebras

Vaughan F. R. Jones

Type: Article

Publication Date: 2021-09-18

Citations: 41

DOI: https://doi.org/10.53733/172

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.  

Locations

New Zealand journal of mathematics - View - PDF

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