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Finite approximation properties of \(C^\ast\)-modules. II - MaRDI portal

Finite approximation properties of \(C^\ast\)-modules. II (Q6594010)

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scientific article; zbMATH DE number 7902538
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Finite approximation properties of \(C^\ast\)-modules. II
scientific article; zbMATH DE number 7902538

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    Finite approximation properties of \(C^\ast\)-modules. II (English)
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    27 August 2024
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    The author introduces the notion of vector valued amenable traces on \(C^*\)-modules. He investigates a notion of quasidiagonality in the category of \(C^*\)-modules and extends Voiculescu's theorem. He also studies the extension of local reflexivity, Arveson's lemma and a work of Kirchberg on min-continuity properties.\N\NFor Part~I see [\textit{M.~Amini}, Ill. J. Math. 66, No.~3, 315--348 (2022; Zbl 07596539)].
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    \(C^\ast\)-module
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    quasidiagonal
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    locally reflexive
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    vector valued trace
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