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AMENABLE ABSORPTION IN AMALGAMATED FREE PRODUCT VON NEUMANN ALGEBRAS

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBOUTONNET, Rémi
hal.structure.identifierUniversité Paris Descartes - Paris 5 [UPD5]
dc.contributor.authorHOUDAYER, Cyril
dc.date.accessioned2024-04-04T03:11:09Z
dc.date.available2024-04-04T03:11:09Z
dc.date.created2016
dc.date.issued2018
dc.identifier.issn2156-2261
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193747
dc.description.abstractEnWe investigate the position of amenable subalgebras in arbitrary amalgamated free product von Neumann algebras M = M1 * B M2. Our main result states that under natural analytic assumptions, any amenable subalgebra of M that has a large intersection with M1 is actually contained in M1. The proof does not rely on Popa's asymptotic orthogonality property but on the study of non normal conditional expectations.
dc.language.isoen
dc.publisherDuke University Press
dc.title.enAMENABLE ABSORPTION IN AMALGAMATED FREE PRODUCT VON NEUMANN ALGEBRAS
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Algèbres d'opérateurs [math.OA]
bordeaux.journalKyoto Journal of Mathematics
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01450069
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01450069v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Kyoto%20Journal%20of%20Mathematics&rft.date=2018&rft.eissn=2156-2261&rft.issn=2156-2261&rft.au=BOUTONNET,%20R%C3%A9mi&HOUDAYER,%20Cyril&rft.genre=article


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