Siemaszko, Artur On group extensions of 2-fold simple ergodic actions. (English) Zbl 0823.28006 Stud. Math. 110, No. 1, 53-64 (1994). Following the methods of M. Lemańczyk and M. K. Mentzen for \(\mathbb{Z}\)-actions [Ergodic Theory Dyn. Syst. 10, No. 4, 763-776 (1990; Zbl 0725.54030)], the author gives a description of the centralizer and the structure of factors for ergodic group extensions of 2-fold simple actions of a locally compact second countable amenable group on a standard Borel space. Just as in the \(\mathbb{Z}\)-action case, it is shown that each factor of such a system is determined by a compact subgroup in the centralizer of a normal factor. Reviewer: G.R.Goodson (Towson) Cited in 1 Document MSC: 28D05 Measure-preserving transformations 28D15 General groups of measure-preserving transformations Keywords:centralizer; ergodic group extensions; simple actions; normal factor Citations:Zbl 0725.54030 PDFBibTeX XMLCite \textit{A. Siemaszko}, Stud. Math. 110, No. 1, 53--64 (1994; Zbl 0823.28006) Full Text: DOI EuDML