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arXiv · 1210.8091

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

Arnaud Brothier
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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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Arnaud Brothier. 2012-10-30. The cup subalgebra of a II_1 factor given by a subfactor planar algebra is maximal amenable. https://doi.org/10.2140/pjm.2014.269.19

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