The ergodic decomposition defined by actions of amenable groups, part II: more about the role played by the ergodic invariant probability measures in the decomposition
Volume 69 / 2021
Bulletin Polish Acad. Sci. Math. 69 (2021), 61-68
MSC: Primary 37A30; Secondary 22F10, 28A65, 28D05, 28D15, 37A15, 43A07, 47A35.
DOI: 10.4064/ba210527-11-10
Published online: 25 October 2021
Abstract
Our purpose here is to continue the study of the ergodic decomposition for actions defined by amenable groups, started in [R. Zaharopol, Colloq. Math. 165 (2021)]. We consider the set $\Gamma ^{(w)}_{\alpha \mathrm {cpie}}$ defined in the above-mentioned paper, and we prove that it is Borel measurable and of maximal probability.
