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

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