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All Irrational Extended Rotation Algebras are AF Algebras
Published online by Cambridge University Press: 20 November 2018
Abstract
Let $\theta \,\in \,\left[ 0,\,1 \right]$ be any irrational number. It is shown that the extended rotation algebra
${{B}_{\theta }}$ introduced by the authors in J. Reine Angew. Math. 665(2012), pp. 1–71, is always an
$\text{AF}$ algebra.
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- Copyright © Canadian Mathematical Society 2015
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