Corpus ID: 117426716

Planar algebras, I

@article{Jones1999PlanarAI,
  title={Planar algebras, I},
  author={V. Jones},
  journal={arXiv: Quantum Algebra},
  year={1999}
}
  • V. Jones
  • Published 1999
  • Mathematics
  • arXiv: Quantum Algebra
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 II_1 factor, and vice versa. 
236 Citations
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Non-semisimple planar algebras from the representation theory of Ūq(𝔰𝔩2)
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Skein theory for the ADE planar algebras
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Hilbert modules over a planar algebra and the Haagerup property
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Free oriented extensions of subfactor planar algebras
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