The cup subalgebra of a II_1 factor given by a subfactor planar algebra is maximal amenable
Operator Algebras
2016-01-20 v2 Functional Analysis
Abstract
To every subfactor planar algebra was associated a II_1 factor with a canonical abelian subalgebra generated by the cup tangle. Using Popa's approximative orthogonality property, we show that this cup subalgebra is maximal amenable.
Keywords
Cite
@article{arxiv.1210.8091,
title = {The cup subalgebra of a II_1 factor given by a subfactor planar algebra is maximal amenable},
author = {Arnaud Brothier},
journal= {arXiv preprint arXiv:1210.8091},
year = {2016}
}