All Irrational Extended Rotation Algebras are AF Algebras

Elliott, George A. ; Niu, Zhuang

Canadian journal of mathematics, Tome 67 (2015) no. 4, pp. 810-826

Résumé

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.

Détail

DOI : 10.4153/CJM-2014-022-5

Mots-clés : 46L05, 46L35, 46L55, 46L80, irrational rotation algebra, extended irrational rotation algebra, AF-embedding.

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