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Hyper-reflexivity of free semigroupoid algebras

hal.structure.identifierDépartement de Mathématiques et Applications - ENS-PSL [DMA]
hal.structure.identifierSciences, Philosophie, Histoire [SPHERE (UMR_7219)]
hal.structure.identifierLaboratoire Bordelais d'Analyse et Géométrie [LaBAG]
hal.structure.identifierApprentissage, Didactique, Evaluation, Formation [ADEF]
dc.contributor.authorJAECK, Frédéric
dc.contributor.authorPOWER, Stephen
dc.date.issued2006-07
dc.identifier.issn0002-9939
dc.description.abstractEnAs a generalization of the free semigroup algebras considered by Davidson and Pitts, and others, the second author and D.W. Kribs initiated a study of reflexive algebras associated with directed graphs. A free semigroupoid algebra L G \mathcal {L}_G is generated by a family of partial isometries, and initial projections, which act on a generalized Fock space spawned by the directed graph G G . We show that if the graph is finite, then L G \mathcal {L}_G is hyper-reflexive.
dc.language.isoen
dc.publisherAmerican Mathematical Society
dc.title.enHyper-reflexivity of free semigroupoid algebras
dc.typeArticle de revue
dc.identifier.doi10.1090/S0002-9939-05-08209-2
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
dc.identifier.arxivmath/0311201
bordeaux.journalProceedings of the American Mathematical Society
bordeaux.page2027-2035
bordeaux.volume134
bordeaux.issue7
bordeaux.peerReviewedoui
hal.identifierhal-03410085
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03410085v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Proceedings%20of%20the%20American%20Mathematical%20Society&rft.date=2006-07&rft.volume=134&rft.issue=7&rft.spage=2027-2035&rft.epage=2027-2035&rft.eissn=0002-9939&rft.issn=0002-9939&rft.au=JAECK,%20Fr%C3%A9d%C3%A9ric&POWER,%20Stephen&rft.genre=article


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