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Riemann surfaces and AF-algebras

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 نشر من قبل Igor Nikolaev V.
 تاريخ النشر 2015
  مجال البحث
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 تأليف Igor Nikolaev




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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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