Golodets, V. Ya.; Sinel’shchikov, S. D. The structure of the automorphisms of groupoids and comparison of transient cocycles. (Russian. English summary) Zbl 0638.28015 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1987, No. 5, 3-5 (1987). Author’s summary: “It is shown that any outer automorphism of a measurable groupoid with continuous orbits can be reduced to the automorphism of some discrete groupoid reduction by means of multiplication by an inner automorphism. This result is used further to prove that the cohomological class of transient cocycles is determined by the isomorphism class of their Mackey images up to the complete group automorphism. Reviewer: K.Musial MSC: 28D15 General groups of measure-preserving transformations 47A35 Ergodic theory of linear operators 54H20 Topological dynamics (MSC2010) Keywords:outer automorphism of a measurable groupoid; continuous orbits; discrete groupoid reduction; transient cocycles; isomorphism class; Mackey images PDFBibTeX XMLCite \textit{V. Ya. Golodets} and \textit{S. D. Sinel'shchikov}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1987, No. 5, 3--5 (1987; Zbl 0638.28015)