Zobrazeno 1 - 3
of 3
pro vyhledávání: '"11M55, 46L85"'
Autor:
Nikolaev, Igor V.
We formalize the quantum arithmetic, i.e. a relationship between number theory and operator algebras. Namely, it is proved that rational projective varieties are dual to the $C^*$-algebras with real multiplication. Our construction fits all axioms of
Externí odkaz:
http://arxiv.org/abs/2412.09148
Autor:
Nikolaev, Igor V.
We recast the local factors of the Hasse-Weil zeta function at infinity in terms of the Cuntz-Pimsner algebras. The nature of such factors is an open problem studied by Deninger and Serre.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/2404.12179
Autor:
Nikolaev, Igor
Publikováno v:
Proc. Amer. Math. Soc. 139 (2011), 4153-4162
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 (degene
Externí odkaz:
http://arxiv.org/abs/1004.0904