Communications in Mathematical Physics

, Volume 179, Issue 3, pp 599–622 | Cite as

A Rohlin property for one-parameter automorphism groups

  • A. Kishimoto


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.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Complex Number 
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Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • A. Kishimoto
    • 1
  1. 1.Department of MathematicsHokkaido UniversitySapporoJapan

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