A Rohlin property for one-parameter automorphism groups |
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Authors: | A Kishimoto |
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Institution: | (1) Department of Mathematics, Hokkaido University, 060 Sapporo, Japan |
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Abstract: | We define a Rohlin property for one-parameter automorphism groups of unital simpleC
*-algebras and show that for such an automorphism group any cocycle is almost a coboundary. We apply the same method to the single automorphism case and show that if an automorphism of a unital simpleC
*-algebra with a certain condition has a central sequence of approximate eigen-unitaries for any complex number of modulus one, then any cocycle is almost a coboundary, or the automorphism has the stability. We also show that if a one-parameter automorphism group of a unital separable purely infinite simpleC
*-algebra has the Rohlin property then the crossed product is simple and purely infinite.
Dedicated to: Prof. H. Hasegawa |
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Keywords: | |
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