Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
Compact group extensions of 2-fold simple actions of locally compact second countable amenable groups are considered. It is shown what the elements of the centralizer of such a system look like. It is also proved that each factor of such a system is determined by a compact subgroup in the centralizer of a normal factor.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
53-64
Opis fizyczny
Daty
wydano
1994
otrzymano
1993-04-27
poprawiono
1993-11-16
Twórcy
autor
- Department of Mathematics, Agricultural and Technical Academy of Olsztyn, Oczapowskiego 1, 10-740 Olsztyn-Kortowo, Poland.
Bibliografia
- [1] F. P. Greenleaf, Ergodic theorems and the construction of summing sequences in amenable locally compact groups, Comm. Pure Appl. Math. 26 (1973), 29-46.
- [2] A. del Junco and D. Rudolph, On ergodic actions whose self-joinings are graphs, Ergodic Theory Dynamical Systems 7 (1987), 531-557.
- [3] U. Krengel, Ergodic Theorems, de Gruyter, Berlin, 1985.
- [4] M. Lemańczyk, Ergodic compact abelian group extensions of rotations, preprint, Toruń, 1990.
- [5] M. Lemańczyk and M. K. Mentzen, Compact subgroups in the centralizer of natural factors of an ergodic group extension of a rotation determine all factors, Ergodic Theory Dynamical Systems 10 (1990), 763-776.
- [6] G. W. Mackey, Ergodic transformation groups with a pure point spectrum, Illinois J. Math. 8 (1964), 593-600.
- [7] M. K. Mentzen, Ergodic properties of group extensions of dynamical systems with discrete spectra, Studia Math. 101 (1991), 19-31.
- [8] D. Newton, On canonical factors of ergodic dynamical systems, J. London Math. Soc. (2) 19 (1979), 129-136.
- [9] W. A. Veech, A criterion for a process to be prime, Monatsh. Math. 94 (1982), 335-341.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-smv110i1p53bwm