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Article Dans Une Revue Proceedings of the American Mathematical Society Année : 2006

Hyper-reflexivity of free semigroupoid algebras

Résumé

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.

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Frédéric Jaeck, Stephen Power. Hyper-reflexivity of free semigroupoid algebras. Proceedings of the American Mathematical Society, 2006, 134 (7), pp.2027-2035. ⟨10.1090/S0002-9939-05-08209-2⟩. ⟨hal-03410085⟩
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