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The Furstenberg lemma characterizes amenability

Author: Greg Hjorth
Journal: Proc. Amer. Math. Soc. 134 (2006), 3061-3069
MSC (2000): Primary 03E15, 37A20; Secondary 28A60, 03C15
Published electronically: May 1, 2006
MathSciNet review: 2231633
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Abstract: We characterize amenability in terms of the existence of equivariant assignments of measures for cocycles into the homeomorphism group of a single compact metric space.

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

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Additional Information

Greg Hjorth
Affiliation: Department of Mathematics, University of California Los Angeles, 405 Hilgard Avenue, Los Angeles, California 90095-1555

Keywords: Amenability, orbit equivalence, mean, homogeneous structure
Received by editor(s): January 14, 2005
Received by editor(s) in revised form: April 27, 2005
Published electronically: May 1, 2006
Additional Notes: This research was supported by NSF grant DMS 0140503
Communicated by: Carl G. Jockusch, Jr.
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.