Property (T) and the furstenberg entropy of nonsingular actions

Lewis Bowen, Yair Hartman, Omer Tamuz

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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 languageEnglish (US)
Pages (from-to)31-39
Number of pages9
JournalProceedings of the American Mathematical Society
Volume144
Issue number1
DOIs
StatePublished - Jan 2016

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Property (T) and the furstenberg entropy of nonsingular actions'. Together they form a unique fingerprint.

Cite this