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<p>The authors show that ra-almost divisibility and weak (<i>m, n</i>)-divisibility of C*-algebras in a class <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11401_2025_34_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\cal{P}\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <mrow> <mi mathvariant="script">P</mi> </mrow> </math></EquationSource> </InlineEquation> are preserved to the simple unital C*-algebras which are asymptotically tracially in <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11401_2025_34_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\cal{P}\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <mrow> <mi mathvariant="script">P</mi> </mrow> </math></EquationSource> </InlineEquation>.</p>

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Divisible Properties for Asymptotically Tracially Approximation of C*-algebras

  • 期刊论文

  • 发表日期：

    2025年9月29日

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  • Qingzhai Fan,
  • Jiahui Wang

摘要

The authors show that ra-almost divisibility and weak (m, n)-divisibility of C*-algebras in a class \(\cal{P}\) P are preserved to the simple unital C*-algebras which are asymptotically tracially in \(\cal{P}\) P .