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A Planar Calculus for Infinite Index Subfactors

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Abstract

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’ basic construction and the resulting Jones projections.

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  1. David Penneys

    Present address: Department of Mathematics, University of Toronto, Room 6290, 40 St. George Street, Toronto, ON, M5S 2E4, Canada

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  1. Department of Mathematics, University of California, Berkeley, 970 Evans Hall #3840, Berkeley, CA, 4720-3840, USA

    David Penneys

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  1. David Penneys
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Correspondence to David Penneys.

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Communicated by Y. Kawahigashi

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Penneys, D. A Planar Calculus for Infinite Index Subfactors. Commun. Math. Phys. 319, 595–648 (2013). https://doi.org/10.1007/s00220-012-1627-4

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