JAECK, Frédéric; POWER, Stephen

doi:10.1090/S0002-9939-05-08209-2

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JAECK, Frédéric
Département de Mathématiques et Applications - ENS-PSL [DMA]
Sciences, Philosophie, Histoire [SPHERE (UMR_7219)]
Laboratoire Bordelais d'Analyse et Géométrie [LaBAG]
Apprentissage, Didactique, Evaluation, Formation [ADEF]

POWER, Stephen

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Proceedings of the American Mathematical Society. 2006-07, vol. 134, n° 7, p. 2027-2035

American Mathematical Society

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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.< Leer menos

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Hyper-reflexivity of free semigroupoid algebras

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