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Abstract view

Inductive Limit Toral Automorphisms of Irrational Rotation Algebras

Irrational rotation $C^*$-algebras have an inductive limit decomposition in terms of matrix algebras over the space of continuous functions on the circle and this decomposition can be chosen to be invariant under the flip automorphism. It is shown that the flip is essentially the only toral automorphism with this property.
 MSC Classifications: 46L40 - Automorphisms 46L35 - Classifications of $C^*$-algebras