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The cup subalgebra of a II_1 factor given by a subfactor planar algebra is maximal amenable

Published 30 Oct 2012 in math.OA and math.FA | (1210.8091v2)

Abstract: To every subfactor planar algebra was associated a II_1 factor with a canonical abelian subalgebra generated by the cup tangle. Using Popa's approximative orthogonality property, we show that this cup subalgebra is maximal amenable.

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