Joinings of Higher Rank Diagonalizable Actions on Locally Homogeneous Spaces
نویسندگان
چکیده
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 ≥ 2 and Γ < G a lattice. We deduce from this a classification of measurable factors of such actions, as well as certain equidistribution properties.
منابع مشابه
Diagonalizable flows on locally homogeneous spaces and number theory
We discuss dynamical properties of actions of diagonalizable groups on locally homogeneous spaces, particularly their invariant measures, and present some number theoretic and spectral applications. Entropy plays a key role in the study of theses invariant measures and in the applications. Mathematics Subject Classification (2000). 37D40, 37A45, 11J13, 81Q50.
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