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Joinings of higher rank torus actions on homogeneous spaces

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Abstract

We show that joinings of higher rank torus actions on \(S\)-arithmetic quotients of semi-simple or perfect algebraic groups must be algebraic.

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Notes

  1. Appendix to https://arxiv.org/abs/1502.04209v1 by M. Aka, M. Einsiedler and U. Shapira which is a preliminary version of [1].

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    Appendix to https://arxiv.org/abs/1502.04209v1 by M. Aka, M. Einsiedler and U. Shapira which is a preliminary version of [1].

    , arXiv.

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Author information

Authors and Affiliations

  1. ETH Zürich, Rämistrasse 101, Zürich, 8092, Switzerland

    Manfred Einsiedler

  2. The Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Edmond J. Safra Campus, Givat Ram, Jerusalem, 91904, Israel

    Elon Lindenstrauss

Authors
  1. Manfred Einsiedler
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  2. Elon Lindenstrauss
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Corresponding author

Correspondence to Elon Lindenstrauss.

Additional information

M. E. acknowledges the support by the SNF (Grant 200021-127145 and 200021-152819).

E. L. acknowledges the support of the ERC (AdG Grant 267259), the Miller Institute and MSRI. The authors gratefully acknowledge the support of the Israeli Institute for Advanced Studies at the Hebrew University, where a good portion of this work was carried out under ideal working conditions.

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Einsiedler, M., Lindenstrauss, E. Joinings of higher rank torus actions on homogeneous spaces. Publ.math.IHES 129, 83–127 (2019). https://doi.org/10.1007/s10240-019-00103-y

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