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.
Original language | English |
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Pages (from-to) | 31-39 |
Number of pages | 9 |
Journal | Proceedings of the American Mathematical Society |
Volume | 144 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jan 2016 |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics (all)
- Applied Mathematics