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On the AF-algebra of a Hecke eigenform

Part of: Selfadjoint operator algebras Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  08 November 2011

Igor V. Nikolaev
Igor V. Nikolaev
Affiliation:
The Fields Institute for Mathematical Sciences, 222 College Street, Toronto, Ontario M5T 3J1, Canada ([email protected])
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Abstract

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An AF-algebra is assigned to each cusp form f of weight 2; we study properties of this operator algebra when f is a Hecke eigenform.

Keywords

modular formsfoliationsoperator algebras

MSC classification

Secondary: 11F03: Modular and automorphic functions 46L85: Noncommutative topology
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 55 , Issue 1 , February 2012 , pp. 207 - 213
Copyright
Copyright © Edinburgh Mathematical Society 2011

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