Langlands reciprocity for the even dimensional noncommutative tori
| Autor: | Nikolaev, Igor |
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| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | Proc. Amer. Math. Soc. 139 (2011), 4153-4162 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1090/S0002-9939-2011-10864-5 |
| Popis: | 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. Comment: final version; to appear Proc. Amer. Math. Soc |
| Databáze: | arXiv |
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