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arXiv · 1004.0904

Langlands reciprocity for the even dimensional noncommutative tori

Igor Nikolaev
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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.

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Igor Nikolaev. 2010-04-06. Langlands reciprocity for the even dimensional noncommutative tori. https://doi.org/10.1090/s0002-9939-2011-10864-5

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