Published January 2016
| Submitted
Journal Article
Open
Property (T) and the Furstenberg Entropy of Nonsingular Actions
- Creators
- Bowen, Lewis
- Hartman, Yair
-
Tamuz, Omer
Abstract
We establish a new characterization of property (T) in terms of the Furstenberg entropy of nonsingular actions. Given any generating measure μ on a countable group G, A. Nevo showed that a necessary condition for G to have property (T) is that the Furstenberg μ-entropy values of the ergodic, properly nonsingular G-actions are bounded away from zero. We show that this is also a sufficient condition.
Additional Information
© 2015 American Mathematical Society. Received by the editors June 30, 2014 and, in revised form, December 1, 2014. Article electronically published on July 24, 2015. The first author was supported in part by NSF grant DMS-0968762, NSF CAREER Award DMS-0954606 and BSF grant 2008274. The second author was supported by the European Research Council, grant 239885.Attached Files
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Additional details
- Eprint ID
- 71959
- Resolver ID
- CaltechAUTHORS:20161111-141359999
- DMS-0968762
- NSF
- DMS-0954606
- NSF
- 2008274
- Binational Science Foundation (USA-Israel)
- 239885
- European Research Council (ERC)
- Created
-
2016-11-16Created from EPrint's datestamp field
- Updated
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2021-11-11Created from EPrint's last_modified field