Abstract We extend the definition of order zero maps to the setting of pro- C * {C^{*}} -algebras and generalize structure theorems of order zero maps between C * {C^{*}} -algebras to strongly bounded order zero maps between pro- C ∗ {C^{\ast}} -algebras. An application to tensor products is included.

中文翻译：

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pro-𝐶∗-代数上零阶的完全正映射

摘要 我们将零阶映射的定义扩展到 pro- C * {C^{*}} - 代数的设置，并将 C * {C^{*}} - 代数之间的零阶映射的结构定理推广到强有界阶pro- C ∗ {C^{\ast}} -代数之间的零映射。包括张量积的应用程序。