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arxiv: math/0203182 · v1 · submitted 2002-03-18 · 🧮 math.OA · math.FA

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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  1. Absolutely compatible pair of elements in a von Neumann algebra-II

    math.OA 2019-06 unverdicted novelty 5.0

    Provides a complete description of absolutely compatible strict element pairs in von Neumann algebras whose form resembles Halmos' generic projection pairs.