Abstract

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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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1231-1252
Launched on MUSE
2018-09-15
Open Access
No
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