Title:
|
Type $\text{III}_0$ cocycles without unbounded gaps (English) |
Author:
|
Hamachi, Toshihiro |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
36 |
Issue:
|
4 |
Year:
|
1995 |
Pages:
|
713-720 |
. |
Category:
|
math |
. |
Summary:
|
An example of type III$_0$ cocycle without unbounded gaps of an ergodic probability measure preserving transformation will be shown. (English) |
Keyword:
|
ergodic measure preserving transformation |
Keyword:
|
type $\text{III}_0$ cocycle |
Keyword:
|
T-set |
Keyword:
|
cocycle with unbounded gaps |
MSC:
|
28D05 |
MSC:
|
28D15 |
idZBL:
|
Zbl 0851.28009 |
idMR:
|
MR1378692 |
. |
Date available:
|
2009-01-08T18:21:11Z |
Last updated:
|
2012-04-30 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118798 |
. |
Reference:
|
[1] Hamachi T., Oka Y., Osikawa M.: A classification of ergodic non-singular transformation groups.Mem. Fac. Sci. Kyushu Univ. 18 (1974), 113-133. Zbl 0293.28011, MR 0432859 |
Reference:
|
[2] Hamachi T., Oka Y., Osikawa M.: Flows associated with ergodic non-singular transformation groups.Publ. RIMS Kyoto Univ. 11 (1975), 31-50. Zbl 0316.28007, MR 0390172 |
Reference:
|
[3] Lemańczyk M.: Private communications.. |
Reference:
|
[4] Lemańczyk M.: Analytic nonregular cocycles over irrational rotations.Comment. Math. Univ. Carolinae 36.4 (1995), 727-735. MR 1378694 |
. |