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arXiv · 1512.04820

Strong solidity of free Araki-Woods factors

Rémi Boutonnet·Cyril Houdayer·Stefaan Vaes
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Abstract

We show that Shlyakhtenko's free Araki-Woods factors are strongly solid, meaning that for any diffuse amenable von Neumann subalgebra that is the range of a normal conditional expectation, the normalizer remains amenable. This provides the first class of nonamenable strongly solid type III factors.

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Rémi Boutonnet, Cyril Houdayer, Stefaan Vaes. 2015-12-15. Strong solidity of free Araki-Woods factors. https://doi.org/10.1353/ajm.2018.0029

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