RIEMANN SURFACES AND AF-ALGEBRAS

被引：1

作者：

Nikolaev, Igor ^{[1
]}

机构：

[1] Fields Inst Res Math Sci, Toronto, ON, Canada

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2016年 / 7卷 / 02期

关键词：

Riemann surfaces; AF-algebras; INDUCTIVE LIMITS; TRANSFORMATIONS; DIFFERENTIALS; FOLIATIONS;

D O I：

10.1215/20088752-3544893

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a generic set in the Teichmiffler 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. In the special case of genus one, one gets a functor between the category of complex tori and the Effros-Shen algebras.

引用

页码：371 / 380

页数：10

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