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On Bost-Connes type systems and Complex Multiplication
Published 5 Oct 2010 in math.OA and math.NT | (1010.0879v1)
Abstract: By using the theory of Complex Multiplication for general Siegel modular varieties we construct arithmetic subalgebras for BC-type systems attached to number fields containing a CM field. Our approach extends the construction of Connes, Marcolli and Ramachandran given in the case of imaginary quadratic fields.
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