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

Etienne Blanchard (1)

1 IMJ - Institut de Mathématiques de Jussieu

We 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.

Domaines: Algèbres d'opérateurs [math.OA]

Etienne Blanchard. Subtriviality of continuous fields of nuclear C*-algebras, with an appendix by E. Kirchberg. Journal für die reine und angewandte Mathematik, 1997, 498, pp.133---149. ⟨hal-00922873⟩