Abstract
A concept of eigenstates is discussed for almost Mathieu operators, relating these operators to the rotation C*-algebras they are associated with and to the integrated density of states. For irrational rotations the eigenstates give rise to a notion of multiplicity for all points in the spectrum of an almost Mathieu operator, an integer which is either 1 or 2. It is shown how the occurrence of point spectrum relates to the multiplicity of the corresponding eigenvalues.
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