On Bost-Connes type systems and Complex Multiplication

Details On Bost-Connes type systems and Complex Multiplication On Bost-Connes type systems and Complex Multiplication

2010-10-05

arxiv.org/abs/1010.0879v1

Mathematics

Operator Algebras

accepted for publication in the Journal of NCG

Scientific paper

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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