Planar algebras

Authors

  • Vaughan Jones Vanderbilt University

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.

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Published

19-09-2021

How to Cite

Jones, V. (2021). Planar algebras. New Zealand Journal of Mathematics, 52, 1–107. https://doi.org/10.53733/172

Issue

Section

Vaughan Jones Memorial Special Issue