Abstract

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 R-split torus on G/Γ with G a simple Lie group of R-rank at least 2 and Γ<G a lattice. We deduce from this a classification of measurable factors of such actions as well as certain equidistribution properties

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