Simplicity of Ultragraph Algebras

  title={Simplicity of Ultragraph Algebras},
  author={MARK TOMFORDE},
  • Published 2001
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… CONTINUE READING