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- Title
Free oriented extensions of subfactor planar algebras.
- Authors
Ghosh, Shamindra Kumar; Jones, Corey; Reddy, B. Madhav
- 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 II 1 subfactor, the projection category of the free oriented extension admits a realization as bimodules of the hyperfinite II 1 factor.
- Subjects
RING extensions (Algebra); FUNCTOR theory; ADJOINT differential equations; CATEGORIES (Mathematics); MODULES (Algebra)
- Publication
International Journal of Mathematics, 2018, Vol 29, Issue 13, pN.PAG
- ISSN
0129-167X
- Publication type
Article
- DOI
10.1142/S0129167X18500933