Strong solidity of free Araki-Woods factors
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | BOUTONNET, Rémi | |
hal.structure.identifier | Université Paris Descartes - Paris 5 [UPD5] | |
dc.contributor.author | HOUDAYER, Cyril | |
hal.structure.identifier | Catholic University of Leuven = Katholieke Universiteit Leuven [KU Leuven] | |
dc.contributor.author | VAES, Stefaan | |
dc.date.accessioned | 2024-04-04T03:11:09Z | |
dc.date.available | 2024-04-04T03:11:09Z | |
dc.date.created | 2015 | |
dc.date.issued | 2018 | |
dc.identifier.issn | 0002-9327 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193748 | |
dc.description.abstractEn | 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. | |
dc.language.iso | en | |
dc.publisher | Johns Hopkins University Press | |
dc.title.en | Strong solidity of free Araki-Woods factors | |
dc.type | Article de revue | |
dc.subject.hal | Mathématiques [math]/Algèbres d'opérateurs [math.OA] | |
bordeaux.journal | American Journal of Mathematics | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-01450068 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-01450068v1 | |
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