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math.OA2007★ 1 cited
Riemann surfaces and AF-algebras
Igor Nikolaev
For a generic set in the Teichmueller space, we construct a covariant functor with the range in a category of the AF-algebras; the functor maps isomorphic Riemann surfaces to the s…
math.OA2007
On a desingularization of the moduli space of noncommutative tori
Igor Nikolaev
It is shown that the moduli space of the noncommutative tori A admits a natural desingularization by the group Ext (A, A). Namely, we prove that the moduli space of pairs (A, Ext (…