A counter-example to Dye's theorem for all non-separable measure algebras (Q1065960)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A counter-example to Dye's theorem for all non-separable measure algebras |
scientific article; zbMATH DE number 3923042
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A counter-example to Dye's theorem for all non-separable measure algebras |
scientific article; zbMATH DE number 3923042 |
Statements
A counter-example to Dye's theorem for all non-separable measure algebras (English)
0 references
1986
0 references
In 1959, H. Dye showed that any two ergodic measure-preserving automorphisms of a Lebesgue measure algebra are weakly equivalent. In this paper, we study weak equivalence, for ergodic measure-preserving automorphisms on non-separable measure algebras. It it shown that, in general, Dye's theorem does not hold, and in particular, it holds only on separable, i.e. Lebesgue, measure algebras.
0 references
counter-example
0 references
ergodic measure-preserving automorphisms
0 references
non-separable measure algebras
0 references
Dye's theorem
0 references
0 references
