Duke Mathematical Journal

Joinings of higher-rank diagonalizable actions on locally homogeneous spaces

Manfred Einsiedler and Elon Lindenstrauss

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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 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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Duke Math. J., Volume 138, Number 2 (2007), 203-232.

First available in Project Euclid: 5 June 2007

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 37A17: Homogeneous flows [See also 22Fxx]
Secondary: 22E46: Semisimple Lie groups and their representations 28D05: Measure-preserving transformations


Einsiedler, Manfred; Lindenstrauss, Elon. Joinings of higher-rank diagonalizable actions on locally homogeneous spaces. Duke Math. J. 138 (2007), no. 2, 203--232. doi:10.1215/S0012-7094-07-13822-5. https://projecteuclid.org/euclid.dmj/1181051030

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