A class of C*-algebras generalizing both graph algebras and homeomorphism C*-algebras IV, pure infiniteness

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Abstract

This is the final one in the series of papers where we introduce and study the C*-algebras associated with topological graphs. In this paper, we get a sufficient condition on topological graphs so that the associated C*-algebras are simple and purely infinite. Using this result, we give one method to construct all Kirchberg algebras as C*-algebras associated with topological graphs.

Original languageEnglish
Pages (from-to)1161-1187
Number of pages27
JournalJournal of Functional Analysis
Volume254
Issue number5
DOIs
Publication statusPublished - 2008 Mar 1
Externally publishedYes

Keywords

  • C-algebra
  • Dynamical system
  • Graph algebra
  • Homeomorphism C-algebra
  • K-theory
  • Kirchberg algebra
  • Purely infinite
  • Topological graph

ASJC Scopus subject areas

  • Analysis

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