On complex and noncommutative tori

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dc.creatorNikolaev, Igor
dc.date2002-12-23
dc.date2004-09-23
dc.date.accessioned2026-07-07T12:34:08Z
dc.date.available2026-07-07T12:34:08Z
dc.descriptionThe "noncommutative geometry" of complex algebraic curves is studied. As first step, we clarify a morphism between elliptic curves, or complex tori, and C*-algebras T_t={u,v | vu=exp(2πit)uv}, or noncommutative tori. The main result says that under the morphism isomorphic elliptic curves map to the Morita equivalent noncommutative tori. Our approach is based on the rigidity of the length spectra of Riemann surfaces.
dc.description13 pages, straighten version, to appear Proc. Amer. Math. Soc
dc.identifierhttps://arxiv.org/abs/math/0212324
dc.identifierhttp://arxiv.org/abs/math/0212324
dc.identifierProc. Amer. Math. Soc. 134 (2006), 973-981
dc.identifierdoi:10.1090/S0002-9939-05-08244-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217316
dc.subjectAlgebraic Geometry
dc.subjectOperator Algebras
dc.subject14H52, 46L85
dc.titleOn complex and noncommutative tori
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