Document Type
Article
Publication Date
2003
Publication Title
Indiana University Mathematics Journal
Department
Department of Mathematics
Abstract
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 well as deduce necessary and sufficient conditions for an ultragraph algebra to be purely infinite and to be AF. Using these techniques we also produce an example of an ultragraph algebra which is neither a graph algebra nor an Exel-Laca algebra. We conclude by proving that the C*-algebras of ultragraphs with no sinks are Cuntz-Pimsner algebras.
DOI
10.1512/iumj.2003.52.2209
Dartmouth Digital Commons Citation
Tomforde, Mark, "Simplicity of Ultragraph Algebras" (2003). Dartmouth Scholarship. 3848.
https://digitalcommons.dartmouth.edu/facoa/3848