Let G be a compact metrizable group which acts freely on a locally compact Hausdorff space X. Let μ be a measure on X, it: X -* X/G s Y the projection, p=π(μ). We show that there is ar-Lusin-measurable disintegration of p with respect to n. We use this result to prove a structure theorem concerning T-ergodic measures on bitransformation groups (G, X, T) with G metric and X compact. We finish with some remarks concerning the case when G is not metric.
Disintegration of measures on compact transformation groups / R. Johnson. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - STAMPA. - 233:(1977), pp. 249-264. [10.1090/S0002-9947-1977-0444897-X]
Disintegration of measures on compact transformation groups
JOHNSON, RUSSELL ALLAN
1977
Abstract
Let G be a compact metrizable group which acts freely on a locally compact Hausdorff space X. Let μ be a measure on X, it: X -* X/G s Y the projection, p=π(μ). We show that there is ar-Lusin-measurable disintegration of p with respect to n. We use this result to prove a structure theorem concerning T-ergodic measures on bitransformation groups (G, X, T) with G metric and X compact. We finish with some remarks concerning the case when G is not metric.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.