Commuting squares and planar subalgebras
Operator Algebras
2019-12-11 v1
Abstract
We show a close relationship between non-degenerate smooth commuting squares of -factors with all inclusions of finite index and inclusions of subfactor planar algebras by showing that each leads to a construction of the other. One direction of this uses the Guionnet-Jones-Shlyakhtenko construction.
Cite
@article{arxiv.1912.04546,
title = {Commuting squares and planar subalgebras},
author = {Keshab Chandra Bakshi and Vijay Kodiyalam},
journal= {arXiv preprint arXiv:1912.04546},
year = {2019}
}
Comments
14 pages, 10 figures