Regularization of actions of groups and groupoids on measured equivalence relations

Valentin Ya. Golodets and Sergey D. Sinelshchikov

Vol. 137 (1989), No. 1, 145–154

DOI: 10.2140/pjm.1989.137.145

Abstract

The paper deals with the regularization problem for locally compact groups of non-strict automorphisms of measured equivalence relations. It is shown that by means of inessential reorganization of the equivalence relation and the group action one can make all the automorphisms of the given action to be strict with respect to the equivalence relation. A similar problem is solved for an action of a measure groupoid which leaves invariant mod 0 a measured equivalence relation.

Mathematical Subject Classification 2000

Primary: 22D40

Secondary: 28D15, 46L55

Milestones

Received: 4 February 1988

Published: 1 March 1989