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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On the pointwise implementation of near-actions


Author: Asger Törnquist
Journal: Trans. Amer. Math. Soc. 363 (2011), 4929-4944
MSC (2010): Primary 03E15, 37A05
Published electronically: March 4, 2011
MathSciNet review: 2806696
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Abstract: We show that the continuum hypothesis implies that every measure preserving near-action of a group on a standard Borel probability space $ (X,\mu)$ has a pointwise implementation by Borel measure preserving automorphisms.


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Additional Information

Asger Törnquist
Affiliation: Kurt Gödel Research Center, University of Vienna, Währinger Strasse 25, 1090 Vienna, Austria
Email: asger@logic.univie.ac.at

DOI: http://dx.doi.org/10.1090/S0002-9947-2011-05296-7
PII: S 0002-9947(2011)05296-7
Keywords: Ergodic theory, near-actions, spatial actions, descriptive set theory
Received by editor(s): October 4, 2009
Received by editor(s) in revised form: January 19, 2010
Published electronically: March 4, 2011
Additional Notes: This research was supported by the Austrian Science Foundation FWF grant no. P19375-N18.
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.