2001/04/30 by Igor Nikolaev · 1 citation
Mathematics · #math.AG #math.OA #msc:14H10 #msc:46L40 #msc:58F10
paper · pdf · doi:10.1090/s0002-9939-09-09917-1
published as Proc. Amer. Math. Soc. 137 (2009), 3283-3290. · 10 pages, final version; to appear Proc. Amer. Math. Soc
arxiv created 2009/02/16 · arxiv updated 2009/11/30
A covariant functor from the category of generic complex algebraic curves to a category of the AF-algebras is constructed. The construction is based on a representation of the Teichmueller space of a curve by the measured foliations due to Douady, Hubbard, Masur and Thurston. The functor maps isomorphic algebraic curves to the stably isomorphic AF-algebras.