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Langlands reciprocity for the even dimensional noncommutative tori

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 نشر من قبل Igor Nikolaev V.
 تاريخ النشر 2010
  مجال البحث
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 تأليف Igor Nikolaev




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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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