Unshaded planar algebras and their associated II_1 factors
Operator Algebras
2012-02-08 v1 Functional Analysis
Abstract
Guionnet et al. gave a construction of a II_1 factor associated to a subfactor planar algebra. In this paper we define an unshaded planar algebra. To any unshaded planar algebra P we associate a finite von Neumann algebra M_P. We prove that M_P is a II_1 factor that contains a generic maximal abelian subalgebra called the cup subalgebra.
Keywords
Cite
@article{arxiv.1202.1298,
title = {Unshaded planar algebras and their associated II_1 factors},
author = {Arnaud Brothier},
journal= {arXiv preprint arXiv:1202.1298},
year = {2012}
}