Ultragraph C*-algebras via topological quivers

Details Ultragraph C*-algebras via topological quivers Ultragraph C*-algebras via topological quivers

2006-11-10

arxiv.org/abs/math/0611318v2

Mathematics

Operator Algebras

20 pages, Version 2 Comments: final version to appear in Studia Math

Scientific paper

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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