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Comparison Properties for Asymptotically Tracially Approximation C*-algebras

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Abstract

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

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Acknowledgements

The research of the second author was supported by a grant from the National Natural Science Foundation of China (Grant No. 11871375).

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Authors and Affiliations

  1. College of Education, Shanghai Jian Qiao University, Shanghai, 201306, P. R. China

    Qing Zhai Fan

  2. Department of Mathematics, Shanghai Maritime University, Shanghai, 201306, P. R. China

    Qing Zhai Fan

  3. Department of Mathematics, Tongji University, Shanghai, 200092, P. R. China

    Xiao Chun Fang

Authors
  1. Qing Zhai Fan
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  2. Xiao Chun Fang
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Correspondence to Qing Zhai Fan.

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Supported by the National Natural Sciences Foundation of China (Grant No. 11871375)

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Fan, Q.Z., Fang, X.C. Comparison Properties for Asymptotically Tracially Approximation C*-algebras. Acta. Math. Sin.-English Ser. 39, 863–884 (2023). https://doi.org/10.1007/s10114-023-1662-4

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  • DOI: https://doi.org/10.1007/s10114-023-1662-4

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