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<p>We compute the nuclear dimension of extensions of <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="209_2025_3787_Article_IEq1.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\({\textrm{C}}^*\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mtext>C</mtext> </mrow> <mo>∗</mo> </msup> </math></EquationSource> </InlineEquation>-algebras involving commutative unital quotients and stable Kirchberg ideals. We identify the finite directed graphs whose <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="209_2025_3787_Article_IEq1.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\({\textrm{C}}^*\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mtext>C</mtext> </mrow> <mo>∗</mo> </msup> </math></EquationSource> </InlineEquation>-algebras are covered by this theorem.</p>

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Nuclear dimension of extensions of commutative \({\textrm{C}}^*\)-algebras by Kirchberg algebras

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月12日

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  • Samuel Evington,
  • Abraham C. S. Ng,
  • Aidan Sims,
  • Stuart White

摘要

We compute the nuclear dimension of extensions of \({\textrm{C}}^*\) C ∗ -algebras involving commutative unital quotients and stable Kirchberg ideals. We identify the finite directed graphs whose \({\textrm{C}}^*\) C ∗ -algebras are covered by this theorem.