### Abstract

We prove that a separable, nuclear, purely infinite, simple C ^{*} -algebra satisfying the universal coefficient theorem is weakly semiprojective if and only if its K-groups are direct sums of cyclic groups.

Original language | English (US) |
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Pages (from-to) | 460-468 |

Number of pages | 9 |

Journal | Canadian Mathematical Bulletin |

Volume | 50 |

Issue number | 3 |

DOIs | |

State | Published - Sep 2007 |

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### Keywords

- Graph C -algebra
- Kirchberg algebra
- Weak semiprojectivity

### ASJC Scopus subject areas

- Mathematics(all)