Abstract
For a generic set in the Teichmüller space, we construct a covariant functor with the range in a category of the -algebras; the functor maps isomorphic Riemann surfaces to the stably isomorphic -algebras. In the special case of genus one, one gets a functor between the category of complex tori and the Effros–Shen algebras.
Citation
Igor Nikolaev. "Riemann surfaces and -algebras." Ann. Funct. Anal. 7 (2) 371 - 380, May 2016. https://doi.org/10.1215/20088752-3544893
Information