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Completely positive maps of order zero on pro-πΆβˆ—-algebras

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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… Click to show full abstract

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-Cβˆ—{C^{\ast}}-algebras. An application to tensor products is included.

Keywords: zero maps; order; pro algebras; positive maps; completely positive; order zero

Journal Title: Forum Mathematicum
Year Published: 2020

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