A Rohlin property for one-parameter automorphism groups. Kishimoto, A. *Communications in Mathematical Physics*, 179(3):599–622, September, 1996. Paper doi abstract bibtex We define a Rohlin property for one-parameter automorphism groups of unital simple C*-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 simple C*-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 simple C*-algebra has the Rohlin property then the crossed product is simple and purely infinite.

@article{kishimoto_rohlin_1996,
title = {A {Rohlin} property for one-parameter automorphism groups},
volume = {179},
issn = {0010-3616, 1432-0916},
url = {http://link.springer.com/10.1007/BF02100099},
doi = {10.1007/BF02100099},
abstract = {We define a Rohlin property for one-parameter automorphism groups of unital simple C*-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 simple C*-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 simple C*-algebra has the Rohlin property then the crossed product is simple and purely infinite.},
language = {en},
number = {3},
urldate = {2020-12-14},
journal = {Communications in Mathematical Physics},
author = {Kishimoto, A.},
month = sep,
year = {1996},
pages = {599--622},
}

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