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Subtriviality of continuous fields of nuclear C*-algebras, with an appendix by E. Kirchberg

By Etienne Blanchard

Abstract

International audienceWe extend in this paper the characterisation of a separable nuclear C* -algebra given by Kirchberg proving that given a unital separable continuous eld of nuclear C* -algebras A over a compact metrizable space X, the C(X)-algebra A is isomorphic to a unital C(X)-subalgebra of the trivial continuous fi eld O_2\otimes C(X), image of O2\otimes C(X) by a norm one projection

Topics: [ MATH.MATH-OA ] Mathematics [math]/Operator Algebras [math.OA]
Publisher: Walter de Gruyter
Year: 1997
OAI identifier: oai:HAL:hal-00922873v1
Provided by: Hal-Diderot

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