| Title:
|
Analytic nonregular cocycles over irrational rotations (English) |
| Author:
|
Lemańczyk, M. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
36 |
| Issue:
|
4 |
| Year:
|
1995 |
| Pages:
|
727-735 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Analytic cocycles of type $III_0$ over an irrational rotation are constructed and an example of that type is given, where all corresponding special flows are weakly mixing. (English) |
| Keyword:
|
cocycle |
| Keyword:
|
special flow |
| Keyword:
|
weak mixing |
| MSC:
|
28D05 |
| MSC:
|
28D15 |
| idZBL:
|
Zbl 0851.28008 |
| idMR:
|
MR1378694 |
| . |
| Date available:
|
2009-01-08T18:21:19Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118800 |
| . |
| Reference:
|
[1] Aaronson J., Hamachi T., Schmidt K.: Associated actions and uniqueness of cocycles.to appear in Proc. of Okayama Conference, 1992. Zbl 1008.37003, MR 1402476 |
| Reference:
|
[2] Aaronson J., Lemańczyk M., Volný D.: A salad of cocycles.preprint. |
| Reference:
|
[3] Golodets V.Ya., Sinel'shchikov S.D.: Classification and structure of cocycles of amenable ergodic equivalence relations.preprint. Zbl 0821.28010, MR 1272135 |
| Reference:
|
[4] Katok A.B.: Constructions in Ergodic Theory.unpublished lecture notes. Zbl 1130.37304 |
| Reference:
|
[5] Kočergin A.W.: On the homology of functions over dynamical systems.Dokl. AN SSSR 281 (1976). MR 0430211 |
| Reference:
|
[6] Kwiatkowski J., Lemańczyk M., Rudolph D.: On the weak isomorphism of measure-preserving diffeomorphisms.Isr. J. Math. 80 (1992), 33-64. MR 1248926 |
| Reference:
|
[7] Kwiatkowski J., Lemańczyk M., Rudolph D.: A class of cocycles having an analytic coboundary modification.Isr. J. Math. 87 (1994), 337-360. MR 1286834 |
| Reference:
|
[8] Moore C.C., Schmidt K.: Coboundaries and homomorphisms for non-singular actions and a problem of H. Helson.Proc. London Math. Soc. (3) 40 (1980), 443-475. Zbl 0428.28014, MR 0572015 |
| Reference:
|
[9] Schmidt K.: Cocycles of Ergodic Transformation Groups.Lect. Notes in Math. Vol. 1, Mac Millan Co. of India, 1977. MR 0578731 |
| Reference:
|
[10] Volný D.: Constructions of smooth and analytic cocycles over irrational circle rotations.Comment. Math. Univ. Carolinae 36.4 (1995), 745-764. MR 1378696 |
| . |
