|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
A Rohlin property for one-parameter automorphism groups
| Title: | A Rohlin property for one-parameter automorphism groups |
| Authors: | Kishimoto, A. Browse this author |
| Issue Date: | 1-Jun-1995 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 296 |
| Start Page: | 1 |
| End Page: | 27 |
| 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69047 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
|
Submitter: 数学紀要登録作業用
|
