On a Teichmueller functor between the categories of complex tori and the Effros-Shen algebras

Details On a Teichmueller functor between the categories of complex tori and the Effros-Shen algebras On a Teichmueller functor between the categories of complex tori and the Effros-Shen algebras

2007-06-29

arxiv.org/abs/0706.4477v2

New York J. Math. 15 (2009), 125-132

Mathematics

Algebraic Geometry

8 pages; 2 figures; final version; to appear New York J. Math. Available online at: http://nyjm.albany.edu/j/2009/15-6.html

Scientific paper

A covariant functor from the category of the complex tori to the category of
the Effros-Shen algebras is constructed. The functor maps isomorphic complex
tori to the stably isomorphic Effros-Shen algebras. Our construction is based
on the Teichmueller theory of the Riemann surfaces.

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