An equivalence relation that is not freely generated
HTML articles powered by AMS MathViewer
- by Scot Adams PDF
- Proc. Amer. Math. Soc. 102 (1988), 565-566 Request permission
Abstract:
In this paper it is shown that there exists a Borel equivalence relation with countable equivalence classes that is not generated by a free Borel action of a countable discrete group.References
- Jacob Feldman and Calvin C. Moore, Ergodic equivalence relations, cohomology, and von Neumann algebras. I, Trans. Amer. Math. Soc. 234 (1977), no. 2, 289–324. MR 578656, DOI 10.1090/S0002-9947-1977-0578656-4
- Robert J. Zimmer, Ergodic theory and semisimple groups, Monographs in Mathematics, vol. 81, Birkhäuser Verlag, Basel, 1984. MR 776417, DOI 10.1007/978-1-4684-9488-4
- Robert J. Zimmer, Hyperfinite factors and amenable ergodic actions, Invent. Math. 41 (1977), no. 1, 23–31. MR 470692, DOI 10.1007/BF01390162
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 102 (1988), 565-566
- MSC: Primary 28D15; Secondary 28C10
- DOI: https://doi.org/10.1090/S0002-9939-1988-0928981-2
- MathSciNet review: 928981