The cup subalgebra has the absorbing amenability property
Operator Algebras
2015-12-16 v2 Functional Analysis
Abstract
Consider an inclusion of diffuse von Neumann algebras A c M . We say that A c M has the absorbing amenability property if for any diffuse subalgebra B c A and any amenable intermediate algebra B c D c M we have that D is contained in A. We prove that the cup subalgebra associated to any subfactor planar algebra has the absorbing amenability property.
Keywords
Cite
@article{arxiv.1510.06075,
title = {The cup subalgebra has the absorbing amenability property},
author = {Arnaud Brothier and Chenxu Wen},
journal= {arXiv preprint arXiv:1510.06075},
year = {2015}
}
Comments
5 pages, 5 figures, to appear in International Journal of Mathematics