Subtriviality of continuous fields of nuclear C*--algebras

Mathematics – Operator Algebras

Scientific paper

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Scientific paper

We extend in this paper the characterisation of a separable nuclear
\cst-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;O_2), image of C(X;O_2) by a norm one projection.

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