Property (T) and the furstenberg entropy of nonsingular actions

Lewis Bowen, Yair Hartman, Omer Tamuz

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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 languageEnglish
Pages (from-to)31-39
Number of pages9
JournalProceedings of the American Mathematical Society
Issue number1
StatePublished - 1 Jan 2016
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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