TY - JOUR
T1 - Rigidity of group actions on homogeneous Spaces, III
AU - Bader, Uri
AU - Furman, Alex
AU - Gorodnik, Alex
AU - Weiss, Barak
PY - 2015/1/1
Y1 - 2015/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84920984848&partnerID=8YFLogxK
U2 - 10.1215/00127094-2860021
DO - 10.1215/00127094-2860021
M3 - Article
AN - SCOPUS:84920984848
SN - 0012-7094
VL - 164
SP - 115
EP - 155
JO - Duke Mathematical Journal
JF - Duke Mathematical Journal
IS - 1
ER -