Comparison Properties for Asymptotically Tracially Approximation C-algebras

Comparison Properties for Asymptotically Tracially Approximation C-algebras

We show that the following properties of the C *-algebras in a class P are inherited by simple unital C *-algebras in the class of asymptotically tracially in P : (1) n -comparison, (2) α-comparison (1 ≤ α < ∞).

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Veröffentlicht in:Acta mathematica Sinica. English series 2023-05, Vol.39 (5), p.863-884
Hauptverfasser: Fan, Qing Zhai, Fang, Xiao Chun
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Asymptotic properties
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:We show that the following properties of the C *-algebras in a class P are inherited by simple unital C *-algebras in the class of asymptotically tracially in P : (1) n -comparison, (2) α-comparison (1 ≤ α < ∞).
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-023-1662-4