A few remarks on C(X)-algebras

Etienne Blanchard (1)

1 IMJ - Institut de Mathématiques de Jussieu

We extend in this paper several results of E. Kirchberg, S. Wassermann and the author dealing with continuous fields of \cst-algebras to the semi-continuous case. We provide a new characterisation of separable lower semi-continuity \cst-bundles and we present exactness criteria for $C(X)$-algebras and unital bisimplifiable Hopf \cst-algebras.

Domaines: Algèbres d'opérateurs [math.OA]

Etienne Blanchard. A few remarks on C(X)-algebras. Revue roumaine de mathématiques pures et appliquées, 2001, 45, pp.565--576. ⟨hal-00922866⟩