Abstract
Consider homogeneous and , for an -algebraic group . A lattice 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 commuting with the -action: assuming ergodicity, we find that they are algebraically defined.
Citation
Uri Bader. Alex Furman. Alex Gorodnik. Barak Weiss. "Rigidity of group actions on homogeneous spaces, III." Duke Math. J. 164 (1) 115 - 155, 15 January 2015. https://doi.org/10.1215/00127094-2860021
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