A planar calculus for infinite index subfactors

Mathematics – Operator Algebras

Scientific paper

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56 pages, many figures

Scientific paper

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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