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Subtriviality of continuous fields of nuclear C*--algebras

Etienne Blanchard

math.OAarXiv:math/0012128

Abstract

We extend in this paper the characterisation of a separable nuclear -algebra given by Kirchberg proving that given a unital separable continuous field 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 field C(X;O2), image of C(X;O2) by a norm one projection.

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