## Abstract

We prove that a C_{0}(X)-algebra is the section algebra of an upper semi-continuous C*-bundle over X. From this we obtain four corollaries. A C*-algebra A is the section algebra of an upper semi-continuous C*-bundle over Prim ZM(A). If X is a locally compact Hausdorff space and α:Prim A → X is a continuous map with dense range, then A is isomorphic to the section algebra of an upper semi-continuous C*-bundle over X. The induced algebra of an upper semi-continuous C*-bundle is an upper semi-continuous C*-bundle of induced algebras, when the action satisfies suitable condition. We give a necessary and sufficient condition for these bundles to be continuous. With a suitable twisted action, the twisted crossed product of an upper semi-continuous C*-bundle is an upper semi-continuous C*-bundle of twisted crossed products and the twisted crossed product of a continuous C*-bundle by an amenable group is again a continuous C*-bundle.

Original language | English (US) |
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Pages (from-to) | 463-477 |

Number of pages | 15 |

Journal | Indiana University Mathematics Journal |

Volume | 45 |

Issue number | 2 |

DOIs | |

State | Published - 1996 |

Externally published | Yes |

## ASJC Scopus subject areas

- Mathematics(all)