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Hyper-reflexivity of free semigroupoid algebras
hal.structure.identifier | Département de Mathématiques et Applications - ENS Paris [DMA] | |
hal.structure.identifier | Sciences, Philosophie, Histoire [SPHERE (UMR_7219)] | |
hal.structure.identifier | Laboratoire Bordelais d'Analyse et Géométrie [LaBAG] | |
hal.structure.identifier | Apprentissage, Didactique, Evaluation, Formation [ADEF] | |
dc.contributor.author | JAECK, Frédéric | |
dc.contributor.author | POWER, Stephen | |
dc.date.issued | 2006-07 | |
dc.identifier.issn | 0002-9939 | |
dc.description.abstractEn | As 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.iso | en | |
dc.publisher | American Mathematical Society | |
dc.title.en | Hyper-reflexivity of free semigroupoid algebras | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1090/S0002-9939-05-08209-2 | |
dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
dc.identifier.arxiv | math/0311201 | |
bordeaux.journal | Proceedings of the American Mathematical Society | |
bordeaux.page | 2027-2035 | |
bordeaux.volume | 134 | |
bordeaux.issue | 7 | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-03410085 | |
hal.version | 1 | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-03410085v1 | |
bordeaux.COinS | ctx_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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