## Abstract

If A is a unital quasidiagonal C^{*}-algebra, we construct a generalized inductive limit B_{A} which is simple, unital and inherits many structural properties from A. If A is the unitization of a non-simple purely infinite algebra (e.g., the cone over a Cuntz algebra), then B_{A} is tracially AF which, among other things, lends support to a conjecture of Toms.

Original language | English (US) |
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Pages (from-to) | 451-462 |

Number of pages | 12 |

Journal | Journal of Functional Analysis |

Volume | 262 |

Issue number | 2 |

DOIs | |

State | Published - Jan 15 2012 |

## All Science Journal Classification (ASJC) codes

- Analysis

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