On Bost-Connes type systems and Complex Multiplication
Operator Algebras
2010-10-06 v1 Number Theory
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.
Keywords
Cite
@article{arxiv.1010.0879,
title = {On Bost-Connes type systems and Complex Multiplication},
author = {Bora Yalkinoglu},
journal= {arXiv preprint arXiv:1010.0879},
year = {2010}
}
Comments
accepted for publication in the Journal of NCG