Geodesic
All Irrational Extended Rotation Algebras are AF Algebras
Canadian journal of mathematics, Tome 67 (2015) no. 4, pp. 810-826

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DOI

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.
DOI : 10.4153/CJM-2014-022-5
Mots-clés : 46L05, 46L35, 46L55, 46L80, irrational rotation algebra, extended irrational rotation algebra, AF-embedding. 
Elliott, George A.; Niu, Zhuang. All Irrational Extended Rotation Algebras are AF Algebras. Canadian journal of mathematics, Tome 67 (2015) no. 4, pp. 810-826. doi: 10.4153/CJM-2014-022-5
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     title = {All {Irrational} {Extended} {Rotation} {Algebras} are {AF} {Algebras}},
     journal = {Canadian journal of mathematics},
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     year = {2015},
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     doi = {10.4153/CJM-2014-022-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-022-5/}
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