Non-abelian class field theory and higher dimensional noncommutative tori

Abstract

We study a relation between the Drinfeld modules and the even dimensional noncommutative tori. A non-abelian class field theory is developed based on this relation. Explicit generators of the Galois extensions are constructed.

to appear in Algebras and Representation Theory

References in corpus (3)

• Comments on a note by M. Waldschmidt
• On algebraic values of function exp (2ni x + log log y)
• Langlands reciprocity for the even dimensional noncommutative tori

Cited by in corpus (1)

• Quantum arithmetic of Drinfeld modules