On the AF-algebra of a Hecke eigenform

DOI10.1017/S0013091510001203zbMath1264.11030arXivmath/0511361OpenAlexW3101565968MaRDI QIDQ3116828

Igor V. Nikolaev

Publication date: 12 February 2012

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

Full work available at URL: https://arxiv.org/abs/math/0511361

zbMATH Keywords

cusp formHecke eigenformdimension groupAF-algebraJacobi-Perron continued fraction

Mathematics Subject Classification ID

Noncommutative topology (46L85) Modular and automorphic functions (11F03) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Classifications of (C^*)-algebras (46L35) Hecke-Petersson operators, differential operators (one variable) (11F25)

Cites Work

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• Quadratic differentials and foliations
• The Jacobi-Perron algorithm its theory and application
• A characterization of uniquely ergodic interval exchange maps in terms of the Jacobi-Perron algorithm

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