Abstract
This paper discusses two problems related with the approximation of rotation algebras: (i) estimating the norm of almost Mathieu operators and (ii) studying a certain AF algebra associated with the continued fraction algorithm. The Effros-Shen AF algebras naturally arise as primitive quotients of this algebra.
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Boca, F.P. (2008). Rotation Algebras and Continued Fractions. In: Bastos, M.A., Lebre, A.B., Speck, FO., Gohberg, I. (eds) Operator Algebras, Operator Theory and Applications. Operator Theory: Advances and Applications, vol 181. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8684-9_4
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DOI: https://doi.org/10.1007/978-3-7643-8684-9_4
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