Free oriented extensions of subfactor planar algebras

@article{Ghosh2018FreeOE,
  title={Free oriented extensions of subfactor planar algebras},
  author={Shamindra Kumar Ghosh and Corey Jones and B Madhav Reddy},
  journal={arXiv: Quantum Algebra},
  year={2018},
  pages={1850093}
}
  • Shamindra Kumar Ghosh, Corey Jones, B Madhav Reddy
  • Published 2018
  • Mathematics
  • arXiv: Quantum Algebra
  • 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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