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arxiv: 1105.1721 · v1 · pith:22VF7MXDnew · submitted 2011-05-09 · 🧮 math.OA

On the symmetric enveloping algebra of planar algebra subfactors

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keywords algebraenvelopingplanarsubfactorssymmetricalgebrasapplicationassociated
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We give a diagrammatic description of Popa's symmetric enveloping algebras associated to planar algebra subfactors. As an application we construct a natural family of derivations on these factors, and compute a certain free entropy dimension type quantity.

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