Strong solidity of free Araki-Woods factors
Operator Algebras
2018-10-12 v2
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.
Keywords
Cite
@article{arxiv.1512.04820,
title = {Strong solidity of free Araki-Woods factors},
author = {Rémi Boutonnet and Cyril Houdayer and Stefaan Vaes},
journal= {arXiv preprint arXiv:1512.04820},
year = {2018}
}
Comments
v2: minor changes, final version, to appear in American Journal of Mathematics