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arxiv: math/0611318 · v2 · pith:IRZH34GWnew · submitted 2006-11-10 · 🧮 math.OA

Ultragraph C*-algebras via topological quivers

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keywords algebrastopologicaltomfordeultragraphmuhlyquiversenseapply
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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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