Mathematics – Algebraic Geometry
Scientific paper
2001-04-06
Proc. Amer. Math. Soc. 137 (2009), 3283-3290.
Mathematics
Algebraic Geometry
10 pages, final version; to appear Proc. Amer. Math. Soc
Scientific paper
10.1090/S0002-9939-09-09917-1
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.
Nikolaev Igor
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