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JOININGS OF HIGHER RANK DIAGONALIZABLE ACTIONS ON LOCALLY HOMOGENEOUS SPACES

By Manfred Einsiedler and Elon Lindenstrauss

Abstract

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 ≥ 2 and Γ < G a lattice. We deduce from this a classification of measurable factors of such actions, as well as certain equidistribution properties. 1

Year: 2010
OAI identifier: oai:CiteSeerX.psu:10.1.1.161.7750
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