Rigidity of group actions on homogeneous Spaces, III

Uri Bader, Alex Furman, Alexander Gorodnik (Gorodnyk), Barak Weiss

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)


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
Issue number1
Publication statusPublished - 9 Jan 2015


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