Langlands reciprocity for the even-dimensional noncommutative tori

DOI10.1090/S0002-9939-2011-10864-5zbMath1267.11100arXiv1004.0904MaRDI QIDQ3103883

Igor V. Nikolaev

Publication date: 13 December 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.0904

zbMATH Keywords

noncommutative toriLanglands program

Mathematics Subject Classification ID

Noncommutative topology (46L85) Langlands-Weil conjectures, nonabelian class field theory (11R39) Relations with noncommutative geometry (11M55)

Cites Work

• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Remark on the rank of elliptic curves
• The Jacobi-Perron algorithm its theory and application
• Simple quotients of group $C^*$-algebras for two step nilpotent groups and connected Lie groups
• An elementary introduction to the Langlands program
• Projective Modules over Higher-Dimensional Non-Commutative Tori
• MORITA EQUIVALENCE OF MULTIDIMENSIONAL NONCOMMUTATIVE TORI
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