2003/11/12 by Frédéric Jaëck, S. C. Power, Jaëck, Frédéric +1 · 1 citation
Mathematics · #47L80 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA)
paper · doi:10.48550/arxiv.math/0311201
openalex publication_date 2003/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 LG is generated by a family of partial isometries, and initial projections, acting on a generalized Fock space spawned from the directed graph G. We show that if the graph is finite then the algebra LG is hyper-reflexive.