Langlands reciprocity for the even dimensional noncommutative tori
Operator Algebras
2011-08-23 v3 Number Theory
Abstract
We conjecture an explicit formula for the higher dimensional Dirichlet character; the formula is based on the K-theory of the so-called noncommutative tori. It is proved, that our conjecture is true for the two-dimensional and one-dimensional (degenerate) noncommutative tori; in the second case, one gets a noncommutative analog of the Artin reciprocity law.
Keywords
Cite
@article{arxiv.1004.0904,
title = {Langlands reciprocity for the even dimensional noncommutative tori},
author = {Igor Nikolaev},
journal= {arXiv preprint arXiv:1004.0904},
year = {2011}
}
Comments
final version; to appear Proc. Amer. Math. Soc