Abstract
Every outer automorphism of a separable simpleC*-Algebra is shown to have a pure state which is mapped into an inequivalent state under this automorphism. The reduced crossed product of a simpleC*-algebra by a discrete group of outer automorphisms is shown to be simple.
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References
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Communicated by H. Araki
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Kishimoto, A. Outer automorphisms and reduced crossed products of simpleC*-algebras. Commun.Math. Phys. 81, 429–435 (1981). https://doi.org/10.1007/BF01209077
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DOI: https://doi.org/10.1007/BF01209077