Rigidity of group actions on homogeneous Spaces, III

Uri Bader, Alex Furman, Alex Gorodnik, Barak Weiss

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Consider homogeneous G/H and G/F, for an S-algebraic group G. A lattice Γ acts on the left strictly conservatively. The following rigidity results are obtained: morphisms, factors, and joinings defined a priori only in the measurable category are in fact algebraically constrained. Arguing in an elementary fashion, we manage to classify all the measurable Φ commuting with the Γ-action: assuming ergodicity, we find that they are algebraically defined.

Original languageEnglish
Pages (from-to)115-155
Number of pages41
JournalDuke Mathematical Journal
Volume164
Issue number1
DOIs
StatePublished - 1 Jan 2015

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