Local triviality for continuous field C-algebras

Joan Bosa, Marius Dadarlat

Research output: Contribution to journalArticleResearchpeer-review

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 languageEnglish
Pages (from-to)1044-1055
JournalInternational Mathematics Research Notices
Volume2015
Issue number4
DOIs
Publication statusPublished - 1 Jan 2015

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