English

A planar calculus for infinite index subfactors

Operator Algebras 2015-05-30 v1

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.

Keywords

Cite

@article{arxiv.1110.3504,
  title  = {A planar calculus for infinite index subfactors},
  author = {David Penneys},
  journal= {arXiv preprint arXiv:1110.3504},
  year   = {2015}
}

Comments

56 pages, many figures

R2 v1 2026-06-21T19:20:58.844Z