On the Guionnet-Jones-Shlyakhtenko construction for graphs

Mathematics – Operator Algebras

Scientific paper

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42 pages, 12 figures. v2 has updated references and minor changes. v3 corrects some typos.

Scientific paper

Using an analogue of the Guionnet-Jones-Shlaykhtenko construction for graphs
we show that their construction applied to any subfactor planar algebra of
finite depth yields an inclusion of interpolated free group factors with finite
parameter, thereby giving another proof of their universality for finite depth
planar algebras.

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