ON THE PLANAR ALGEBRA OF OCNEANU'S ASYMPTOTIC INCLUSION

@article{Curran2012ONTP,
  title={ON THE PLANAR ALGEBRA OF OCNEANU'S ASYMPTOTIC INCLUSION},
  author={Stephen J. Curran},
  journal={International Journal of Mathematics},
  year={2012},
  volume={23},
  pages={1250114}
}
  • S. Curran
  • Published 12 May 2012
  • Mathematics
  • International Journal of Mathematics
In recent joint work with Jones and Shlyakhtenko, we have given a diagrammatic description of Popa's symmetric enveloping inclusion for planar algebra subfactors. In this paper, we give a diagrammatic construction of the associated Jones tower, in the case that the planar algebra is finite-depth. We then use this construction to describe the planar algebra of the symmetric enveloping inclusion, which is known to be isomorphic to the planar algebra of Ocneanu's asymptotic inclusion by a result… 
4 Citations

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