Abstract
The structure of the automorphism group of a simple C*-algebra of real rank zero which is an inductive limit of circle algebras is described. In particular, it is proved that the automorphism group of the irrational rotation C*-algebra,A ч, for any irrational number ч, is an extension of a topologically simple group by GL2(ℤ).
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Communicated by H. Araki
Dedicated to Huzihiro Araki
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Elliott, G.A., Rørdam, M. The automorphism group of the irrational rotation C*-algebra. Commun.Math. Phys. 155, 3–26 (1993). https://doi.org/10.1007/BF02100047
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DOI: https://doi.org/10.1007/BF02100047