Continuous Fields with Fibres $\mathscr{O}_{\infty}$

Abstract

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