Bost–Connes type systems for function fields
نویسندگان
چکیده
منابع مشابه
Bost-Connes type Systems for Function Fields
We describe a construction which associates to any function field k and any place ∞ of k a C-dynamical system (Ck,∞, σt) that is analogous to the Bost-Connes system associated to Q and its archimedian place. Our construction relies on Hayes’ explicit class field theory in terms of signnormalized rank one Drinfel’d modules. We show that Ck,∞ has a faithful continuous action of Gal(K/k), where K ...
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ژورنال
عنوان ژورنال: Journal of Noncommutative Geometry
سال: 2007
ISSN: 1661-6952
DOI: 10.4171/jncg/4