Free oriented extensions of subfactor planar algebras
International Journal of Mathematics
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.
Ghosh, Shamindra Kumar; Jones, Corey; and Reddy, B. Madhav, "Free oriented extensions of subfactor planar algebras" (2018). Journal Articles. 1121.