Joinings of higher-rank diagonalizable actions on locally homogeneous spaces
Einsiedler, Manfred ; Lindenstrauss, Elon
Duke Math. J., Tome 136 (2007) no. 1, p. 203-232 / Harvested from Project Euclid
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We classify joinings between a fairly general class of higher-rank diagonalizable actions on locally homogeneous spaces. In particular, we classify joinings of the action of a maximal ${\mathbb R}$ -split torus on $G/\Gamma$ with $G$ a simple Lie group of ${\mathbb R}$ -rank at least $2$ and $\Gamma \lt G$ a lattice. We deduce from this a classification of measurable factors of such actions as well as certain equidistribution properties
Publié le : 2007-06-01
Classification:  37A17,  22E46,  28D05 
@article{1181051030,
     author = {Einsiedler, Manfred and Lindenstrauss, Elon},
     title = {Joinings of higher-rank diagonalizable actions on locally homogeneous spaces},
     journal = {Duke Math. J.},
     volume = {136},
     number = {1},
     year = {2007},
     pages = { 203-232},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1181051030}
}

Einsiedler, Manfred; Lindenstrauss, Elon. Joinings of higher-rank diagonalizable actions on locally homogeneous spaces. Duke Math. J., Tome 136 (2007) no. 1, pp.  203-232. http://gdmltest.u-ga.fr/item/1181051030/