Continuous fields with fibres O_\infty

Etienne Blanchard (1)

1 IMJ - Institut de Mathématiques de Jussieu

We study in this article a class of unital continuous \cst-bundles the fibres of which are all isomorphic to the Cuntz C*-algebra O_\infty This enables us to give several equivalent reformulations for the triviality of all these C*-bundles.

Mots clés: C*-algebra; Classification; Proper Infiniteness

Domaines: Algèbres d'opérateurs [math.OA]

Etienne Blanchard. Continuous fields with fibres O_\infty. Mathematica Scandinavica, 2015, 115 (2), pp.189-205. ⟨10.7146/math.scand.a-19222⟩. ⟨hal-00922792v3⟩