On a Poisson summation formula for noncommutative tori

DOI10.1007/s11785-018-0812-7zbMath1459.11127arXiv1106.5729OpenAlexW2213688759MaRDI QIDQ2008147

Yanyan Li

Publication date: 22 November 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.5729

zbMATH Keywords

Selberg trace formulanoncommutative torus

Mathematics Subject Classification ID

Noncommutative topology (46L85) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Cites Work

• The \(C^*\)-algebras associated with minimal homeomorphisms of the Cantor set
• C*-algebras associated with irrational rotations
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
• Inductive Limits of Finite Dimensional C ∗ -Algebras
• Noncommutative geometry. A functorial approach
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