Complete isometries into C*-algebras
classification
🧮 math.OA
math.FA
keywords
algebrascompleteisometriesboundarycharacterizationsclassicaldualembedding
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We give various characterizations of into (not necessarily onto) complete isometries between $C^*$-algebras, generalizing a classical result of Holsztynski. Our results are related to a natural embedding of the noncommutative Shilov boundary in a second dual.
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