具有强自吸收纤维的C（X）-代数的平凡化
Trivialization of C(X)-algebras with strongly self-absorbing fibres
摘要：
设$A$是一个可分单位$C(X)$ -代数，它的每根纤维同构于同一个强自吸收和$K_{1}$ -内射$C^{*}$ -代数$D$ .我们证明了在紧T2空间$X$是有限维的条件下，$A$和$C(X) \otimes D$同构于$C(X)$ -代数.这个陈述是已知的不扩展到无限维的情况下。
英文摘要：
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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