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arXiv · 1510.06075

The cup subalgebra has the absorbing amenability property

Arnaud Brothier·Chenxu Wen
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Abstract

Consider an inclusion of diffuse von Neumann algebras A c M . We say that A c M has the absorbing amenability property if for any diffuse subalgebra B c A and any amenable intermediate algebra B c D c M we have that D is contained in A. We prove that the cup subalgebra associated to any subfactor planar algebra has the absorbing amenability property.

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Arnaud Brothier, Chenxu Wen. 2015-12-15. The cup subalgebra has the absorbing amenability property. https://arxiv.org/abs/1510.06075

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