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Free oriented extensions of subfactor planar algebras

    https://doi.org/10.1142/S0129167X18500933Cited by:1 (Source: Crossref)

    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.

    AMSC: 46L37, 46M15

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