Open AccessOn Bost–Connes type systems and complex multiplication
Author(s) -
Bora Yalkinoglu
Publication year - 2012
Publication title -
journal of noncommutative geometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.037
H-Index - 26
eISSN - 1661-6960
pISSN - 1661-6952
DOI - 10.4171/jncg/92
Subject(s) - mathematics , multiplication (music) , complex multiplication , type (biology) , algebra over a field , arithmetic , pure mathematics , combinatorics , elliptic curve , ecology , biology
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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