## 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 language | English |
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Pages (from-to) | 1161-1187 |

Number of pages | 27 |

Journal | Journal of Functional Analysis |

Volume | 254 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2008 Mar 1 |

Externally published | Yes |

## 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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