Free oriented extensions of subfactor planar algebras

Article Type

Research Article

Publication Title

International Journal of Mathematics

Abstract

We show that the restriction functor from oriented factor planar algebras to subfactor planar algebras admits a left adjoint, which we call the free oriented extension functor. We show that for any subfactor planar algebra realized as the standard invariant of a hyperfinite II1 subfactor, the projection category of the free oriented extension admits a realization as bimodules of the hyperfinite II1 factor.

DOI

10.1142/S0129167X18500933

Publication Date

12-1-2018

Comments

All Open Access, Green

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