Article ID Journal Published Year Pages File Type
4590341 Journal of Functional Analysis 2013 20 Pages PDF
Abstract

Given a subfactor planar algebra PP, Guionnet, Jones and Shlyakhtenko give a diagrammatic construction of a II1II1 subfactor whose planar algebra is PP. They showed that if PP is finite-depth, then the factors are interpolated free group factors, and they identified the parameters. We prove that if PP is infinite-depth, then the factors are isomorphic to L(F∞)L(F∞).

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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