## Abstract

© The Author(s) 2013. Let X be a finite-dimensional compact metrizable space. Let Abe a separable continuous field C∗-algebra over X with all fibers isomorphic to the same stable Kirchberg algebra D. We show that if D has finitely generated K-theory and it satisfies the Universal Coefficient Theorem in KK-theory, then there exists a dense open subset U of X such that the ideal A(U) is locally trivial. The assumptions that the space X is finite-dimensional and that the K-theory of the fiber is finitely generated are both necessary.

Original language | English |
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Pages (from-to) | 1044-1055 |

Journal | International Mathematics Research Notices |

Volume | 2015 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1 Jan 2015 |

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