# On group extensions of 2-fold simple ergodic actions

Studia Mathematica (1994)

- Volume: 110, Issue: 1, page 53-64
- ISSN: 0039-3223

## Access Full Article

top## Abstract

top## How to cite

topSiemaszko, Artur. "On group extensions of 2-fold simple ergodic actions." Studia Mathematica 110.1 (1994): 53-64. <http://eudml.org/doc/216098>.

@article{Siemaszko1994,

abstract = {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.},

author = {Siemaszko, Artur},

journal = {Studia Mathematica},

keywords = {centralizer; ergodic group extensions; simple actions; normal factor},

language = {eng},

number = {1},

pages = {53-64},

title = {On group extensions of 2-fold simple ergodic actions},

url = {http://eudml.org/doc/216098},

volume = {110},

year = {1994},

}

TY - JOUR

AU - Siemaszko, Artur

TI - On group extensions of 2-fold simple ergodic actions

JO - Studia Mathematica

PY - 1994

VL - 110

IS - 1

SP - 53

EP - 64

AB - 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.

LA - eng

KW - centralizer; ergodic group extensions; simple actions; normal factor

UR - http://eudml.org/doc/216098

ER -

## References

top- [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. Zbl0243.22005
- [2] A. del Junco and D. Rudolph, On ergodic actions whose self-joinings are graphs, Ergodic Theory Dynamical Systems 7 (1987), 531-557. Zbl0646.60010
- [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. Zbl0725.54030
- [6] G. W. Mackey, Ergodic transformation groups with a pure point spectrum, Illinois J. Math. 8 (1964), 593-600. Zbl0255.22014
- [7] M. K. Mentzen, Ergodic properties of group extensions of dynamical systems with discrete spectra, Studia Math. 101 (1991), 19-31. Zbl0809.28015
- [8] D. Newton, On canonical factors of ergodic dynamical systems, J. London Math. Soc. (2) 19 (1979), 129-136. Zbl0425.28012
- [9] W. A. Veech, A criterion for a process to be prime, Monatsh. Math. 94 (1982), 335-341. Zbl0499.28016

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.