open access

https://doi.org/10.14943/83443

https://hdl.handle.net/2115/69047

A Rohlin property for one-parameter automorphism groups

英語

1995-06-01

Department of Mathematics, Hokkaido University

Hokkaido University Preprint Series in Mathematics

296

1-27

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.

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