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

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

2007-05-10

arxiv.org/abs/0705.1497v2

Mathematics

Operator Algebras

27 pages

Scientific paper

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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