A planar calculus for infinite index subfactors

Other literature type, Preprint English OPEN
Penneys, David;
  • Publisher: Springer Science and Business Media LLC
  • Identifiers: doi: 10.1007/s00220-012-1627-4
  • Subject: 46L37 (Primary) 18D10, 57M20 (Secondary) | Mathematics - Operator Algebras
    arxiv: Mathematics::Geometric Topology | Mathematics::Operator Algebras

We develop an analog of Jones' planar calculus for II_1-factor bimodules with arbitrary left and right von Neumann dimension. We generalize to bimodules Burns' results on rotations and extremality for infinite index subfactors. These results are obtained without Jones' ... View more
  • References (3)

    U e Haagerup, Operator-valued weights in von Neumann algebras. I, J. Funct. Anal. 32 (1979), no. 2, 175{206, MR534673.

    Scott Morrison and Noah Snyder, Subfactors of index less than 5, part 1: the principal graph odometer, Comm. Math. Phys. (2011), arXiv:1007.

    1730, Accepted June 28, 2011.

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