56 citations · 58 across the 3 of their papers we have counts for
11 papers · 1 filter
Strong Shift Equivalence in the C*-algebraic setting: Graphs and C*-correspondences
Mark Tomforde
We discuss strong shift equivalence, which has been used to characterize conjugacy of edge shifts, and its application to C*-algebras of graphs and Cuntz-Pimsner algebras.
Topological Quivers
Paul S. Muhly, Mark Tomforde
Topological quivers are generalizations of directed graphs in which the sets of vertices and edges are locally compact Hausdorff spaces. Associated to such a topological quiver Q i…
Adding tails to C*-correspondences
Paul S. Muhly, Mark Tomforde
We describe a method of adding tails to C*-correspondences which generalizes the process used in the study of graph C*-algebras. We show how this technique can be used to extend re…
Stability of C*-algebras associated to graphs
Mark Tomforde
We characterize stability of graph C*-algebras by giving five conditions equivalent to their stability. We also show that if G is a graph with no sources, then C*(G) is stable if a…
The ordered K_0-group of a graph C*-algebra
Mark Tomforde
We calculate the ordered K_0-group of a graph C*-algebra and mention applications of this result to AF-algebras, states on the K_0-group of a graph algebra, and tracial states of g…
Simplicity of ultragraph algebras
Mark Tomforde
In this paper we analyze the structure of C*-algebras associated to ultragraphs, which are generalizations of directed graphs. We characterize the simple ultragraph algebras as wel…