We prove a change of base theorem for operator space modules over C* -algebras, analogous to the change of rings for algebraic modules. We demonstrate how this can be used to show that the category of (right) matrix normed modules and completely bounded module maps has enough injectives.

中文翻译：

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操作员空间模块底座的更改

我们证明了 C* -代数上算子空间模的基定理的变化，类似于代数模的环的变化。我们演示了如何使用它来表明（右）矩阵赋范模块和完全有界模块映射的类别具有足够的单射。