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arXiv · 1805.08971

Free oriented extensions of subfactor planar algebras

Shamindra Kumar Ghosh·Corey Jones·B Madhav Reddy
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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 $\rm{II}_1$ subfactor, the projection category of the free oriented extension admits a realization as bimodules of the hyperfinite $\rm{II}_{1}$ factor.

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Shamindra Kumar Ghosh, Corey Jones, B Madhav Reddy. 2018-05-23. Free oriented extensions of subfactor planar algebras. https://arxiv.org/abs/1805.08971

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