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All Irrational Extended Rotation Algebras are AF Algebras

  • George A. Elliott (a1) and Zhuang Niu (a2)

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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All Irrational Extended Rotation Algebras are AF Algebras

  • George A. Elliott (a1) and Zhuang Niu (a2)

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