76 citations · 782 across the 86 of their papers we have counts for
Showing 2008 · math.OAShow all
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math.OA2008
Realizations of AF-algebras as graph algebras, Exel-Laca algebras, and ultragraph algebras
Takeshi Katsura, Aidan Sims, Mark Tomforde
We give various necessary and sufficient conditions for an AF-algebra to be isomorphic to a graph C*-algebra, an Exel-Laca algebra, and an ultragraph C*-algebra. We also explore co…
math.OA2008★ 5 cited
The co-universal C*-algebra of a row-finite graph
Aidan Sims
Let E be a row-finite directed graph. We prove that there exists a C*-algebra C*_{min}(E) with the following co-universal property: given any C*-algebra B generated by a Toeplitz-C…
math.OA2008★ 2 cited
Graph algebras, Exel-Laca algebras, and ultragraph algebras coincide up to Morita equivalence
Takeshi Katsura, Paul S. Muhly, Aidan Sims +1
We prove that the classes of graph algebras, Exel-Laca algebras, and ultragraph algebras coincide up to Morita equivalence. This result answers the long-standing open question of w…