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arXiv · 1002.3491

Quantization of branched coverings

Alexander Pavlov·Evgenij Troitsky
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Abstract

We identify branched coverings (continuous open surjections p:Y->X of Hausdorff spaces with uniformly bounded number of pre-images) with Hilbert C*-modules C(Y) over C(X) and with faithful unital positive conditional expectations E:C(Y)->C(X) topologically of index-finite type. The case of non-branched coverings corresponds to projective finitely generated modules and expectations (algebraically) of index-finite type. This allows to define non-commutative analogues of (branched) coverings.

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BibTeXRIS

Alexander Pavlov, Evgenij Troitsky. 2010-02-18. Quantization of branched coverings. https://doi.org/10.1134/s1061920811030071

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