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Ultragraph C*-algebras via topological quivers

Takeshi KatsuraPaul S. MuhlyAidan SimsMark Tomforde — 2008

Studia Mathematica

Given an ultragraph in the sense of Tomforde, we construct a topological quiver in the sense of Muhly and Tomforde in such a way that the universal C*-algebras associated to the two objects coincide. We apply results of Muhly and Tomforde for topological quiver algebras and of Katsura for topological graph C*-algebras to study the K-theory and gauge-invariant ideal structure of ultragraph C*-algebras.

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