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math.OAJul 25, 2008
15
citations (OpenAlex)
authors
  • Vaughan Jones
  • Dimitri Shlyakhtenko
  • Kevin Walker
arXiv abstractPDF
paper

An orthogonal approach to the subfactor of a planar algebra

arXiv:0807.4146

Abstract

By changing to an orthogonal basis, we give a short proof that the subfactor of the graded algebra of a planar algebra reproduces the planar algebra.

12 pages

References in corpus (2)

  • Random matrices, free probability, planar algebras and subfactors
  • From subfactor planar algebras to subfactors

Cited by in corpus (7)

  • Skein theory for the D_{2n} planar algebras
  • Loop models, random matrices and planar algebras
  • A planar algebra construction of the Haagerup subfactor
  • On the Guionnet-Jones-Shlyakhtenko construction for graphs
  • Free probability, Planar algebras, Subfactors and Random Matrices
  • Weights on bimodules
  • Guionnet-Jones-Shlyakhtenko subfactors associated to finite-dimensional Kac algebras
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