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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The Furstenberg lemma characterizes amenability
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by Greg Hjorth PDF
Proc. Amer. Math. Soc. 134 (2006), 3061-3069 Request permission

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.
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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
  • Email: greg@math.ucla.edu
  • 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.
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 3061-3069
  • MSC (2000): Primary 03E15, 37A20; Secondary 28A60, 03C15
  • DOI: https://doi.org/10.1090/S0002-9939-06-08321-3
  • MathSciNet review: 2231633