Langlands reciprocity for \(C^\ast \)-algebras

DOI10.1007/978-3-030-51945-2_26zbMath1469.11147arXiv1505.03054OpenAlexW2146793569MaRDI QIDQ1980932

Igor V. Nikolaev

Publication date: 9 September 2021

Full work available at URL: https://arxiv.org/abs/1505.03054

zbMATH Keywords

Langlands programSerre \(C^\ast \)-algebra

Mathematics Subject Classification ID

Noncommutative topology (46L85) Arithmetic aspects of modular and Shimura varieties (11G18) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

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• On a symmetry of complex and real multiplication
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• On traces of Frobenius endomorphisms
• Noncommutative curves and noncommutative surfaces
• An elementary introduction to the Langlands program
• Embedding some transformation group C*-algebras into AF-algebras
• Inductive Limits of Finite Dimensional C ∗ -Algebras
• Noncommutative geometry. A functorial approach

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