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Inductive Limit Toral Automorphisms of Irrational Rotation Algebras

Open Access article
 Printed: Sep 2001
  • P. J. Stacey
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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, 46L35 show english descriptions Automorphisms
Classifications of $C^*$-algebras
46L40 - Automorphisms
46L35 - Classifications of $C^*$-algebras

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