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The one-cocycle property for shifts
| Title: | The one-cocycle property for shifts |
| Authors: | KISHIMOTO, A.1 Browse this author →KAKEN DB |
| Authors(alt): | 岸本, 晶孝1 |
| Issue Date: | 2005 |
| Publisher: | Cambridge University Press |
| Journal Title: | Ergodic Theory and Dynamical Systems |
| Volume: | 25 |
| Start Page: | 823 |
| End Page: | 859 |
| Publisher DOI: | 10.1017/S0143385704000860 |
| Abstract: | The two-sided shift on the infinite tensor product of copies of the n × n matrix algebra has the so-called Rohlin property, which entails the one-cocycle property, useful in analyzing cocycle-conjugacy classes. In the case n = 2, the restriction of the shift to the gauge-invariant CAR algebra also has the one-cocycle property. We extend the latter result to an arbitrary n ≥ 2. As a corollary it follows that the flow α on the Cuntz algebra On = C*(s0, s1, . . . , sn−1) defined by αt (sj ) = eipj t sj has the Rohlin property (for flows) if and only if p0, . . . ,pn−1 generate R as a closed sub-semigroup. Note that then such flows are all cocycle-conjugate to each other. |
| Rights: | Copyright © 2005 Cambridge University Press |
| Type: | article |
| URI: | http://hdl.handle.net/2115/5907 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 岸本 晶孝
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