Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



An equivalence relation that is not freely generated

Author: Scot Adams
Journal: Proc. Amer. Math. Soc. 102 (1988), 565-566
MSC: Primary 28D15; Secondary 28C10
MathSciNet review: 928981
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • [1] Jacob Feldman and Calvin C. Moore, Ergodic equivalence relations, cohomology and von Neumann algebras. I, Trans. Amer. Math. Soc. 234 (1977), 289-324. MR 0578656 (58:28261a)
  • [2] R. J. Zimmer, Ergodic theory and semisimple groups, Birkäuser, Boston, Mass., 1984. MR 776417 (86j:22014)
  • [3] -, Hyperfinite factors and amenable ergodic actions, Invent. Math. 41 (1977), 23-31. MR 0470692 (57:10438)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 28D15, 28C10

Retrieve articles in all journals with MSC: 28D15, 28C10

Additional Information

Keywords: Borel equivalence relation, measurable equivalence relation, amenable equivalence relation
Article copyright: © Copyright 1988 American Mathematical Society

American Mathematical Society