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arXiv · 0710.3357

Riemann surfaces and AF-algebras

Igor Nikolaev
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Abstract

For a generic set in the Teichmueller space, we construct a covariant functor with the range in a category of the AF-algebras; the functor maps isomorphic Riemann surfaces to the stably isomorphic AF-algebras. As a special case, one gets a categorical correspondence between complex tori and the so-called Effros-Shen algebras.

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Igor Nikolaev. 2007-10-17. Riemann surfaces and AF-algebras. https://doi.org/10.1215/20088752-3544893

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