Riemann surfaces and AF-algebras
Operator Algebras
2016-06-08 v7 Algebraic Geometry
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.
Cite
@article{arxiv.0710.3357,
title = {Riemann surfaces and AF-algebras},
author = {Igor Nikolaev},
journal= {arXiv preprint arXiv:0710.3357},
year = {2016}
}
Comments
to appear Annals of Functional Analysis. arXiv admin note: substantial text overlap with arXiv:math/0104077