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Completely positive maps of order zero on pro-\( C^\ast \)-algebras. (English) Zbl 1471.46056

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

MSC:

46L05 General theory of \(C^*\)-algebras
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