We show that, under natural conditions, the minimal, respectively maximal tensor product of a pro-C*-algebra associated to a pro-C*-correspondence and a pro-C*-algebra is isomorphic to the pro-C*-algebra associated with a tensor product pro-C*-correspondence.

中文翻译：

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Pro-$$C^{\ast}$$C*-与 pro-$$C^{\ast}$$C*-对应与张量积相关的代数

我们表明，在自然条件下，与 pro-C*-对应关系和 pro-C*-代数相关的 pro-C*-代数的最小和最大张量积与 pro-C*-代数同构与张量积 pro-C* 对应。