On the pointwise implementation of near-actions
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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.References
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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
- 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.
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 363 (2011), 4929-4944
- MSC (2010): Primary 03E15, 37A05
- DOI: https://doi.org/10.1090/S0002-9947-2011-05296-7
- MathSciNet review: 2806696