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Abstract <p> We address the problem of identification of branched coverings (continuous open surjections <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(p\colon Y\to X\)</EquationSource> </InlineEquation> of Hausdorff spaces with uniformly bounded number of pre-images) with faithful unital positive conditional expectations <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(E\colon C(Y)\to C(X)\)</EquationSource> </InlineEquation> topologically of index-finite type. Caused by recent progress (A. Chirvasitu, 2024) in the field and detection of an issue in our old paper, we revisit it to make some advances. </p>

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Quantization of Branched Coverings Revisited

  • 期刊论文

  • 发表日期：

    2026年3月27日

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  • E. Troitsky

摘要

Abstract

We address the problem of identification of branched coverings (continuous open surjections \(p\colon Y\to X\) of Hausdorff spaces with uniformly bounded number of pre-images) with faithful unital positive conditional expectations \(E\colon C(Y)\to C(X)\) topologically of index-finite type. Caused by recent progress (A. Chirvasitu, 2024) in the field and detection of an issue in our old paper, we revisit it to make some advances.