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Trivialization of $𝒞 (X)$ -algebras with strongly self-absorbing fibres

Marius Dadarlat; Wilhelm Winter — 2008

Bulletin de la Société Mathématique de France

Suppose $A$ is a separable unital $𝒞 (X)$ -algebra each fibre of which is isomorphic to the same strongly self-absorbing and $K_{1}$ -injective $C^{*}$ -algebra $𝒟$ . We show that $A$ and $𝒞 (X) \otimes 𝒟$ are isomorphic as $𝒞 (X)$ -algebras provided the compact Hausdorff space $X$ is finite-dimensional. This statement is known not to extend to the infinite-dimensional case.

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Trivialization of 𝒞 ( X ) -algebras with strongly self-absorbing fibres

Trivialization of $𝒞 (X)$ -algebras with strongly self-absorbing fibres