Hyper-reflexivity of free semigroupoid algebras
AUTHORS
Document type
Journal articles
Abstract
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.
