Article ID Journal Published Year Pages File Type
4590512 Journal of Functional Analysis 2012 33 Pages PDF
Abstract

Guionnet et al. gave a construction of a II1 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 MP. We prove that MP is a II1 factor that contains a generic maximal abelian subalgebra called the cup subalgebra.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory