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Strong Solidity of free Araki-Woods factors
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 140, Number 5, October 2018
- pp. 1231-1252
- 10.1353/ajm.2018.0029
- Article
- Additional Information
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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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