STRONG SOLIDITY OF FREE ARAKI-WOODS FACTORS
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 fact...
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Veröffentlicht in: | American journal of mathematics 2018-10, Vol.140 (5), p.1231-1252 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | 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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ISSN: | 0002-9327 1080-6377 1080-6377 |
DOI: | 10.1353/ajm.2018.0029 |