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The diffeomorphism group of the irrational rotation $$C^ *$$-algebra. (English) Zbl 0617.46068
A complete description is given of the automorphisms of the smooth irrational rotation algebra, in the case that the rotation has generic diophantine properties.

##### MSC:
 46L55 Noncommutative dynamical systems 46L40 Automorphisms of selfadjoint operator algebras 46L35 Classifications of $$C^*$$-algebras