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Variants of Kazhdan’s property for subgroups of semisimple groups

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Abstract

Some variants of Kazhdan’s property (T) for discrete groups are presented. It is shown that some groups (e.g. SL n (Q),n≧3) which do not have property (T) still have some of these weaker properties. Applications to cohomology and infinitesimal rigidity for certain actions on manifolds are derived.

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Authors and Affiliations

  1. Department of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel

    Alexander Lubotzky

  2. Department of Mathematics, University of Chicago, 5734 University Avenue, 60637, Chicago, IL, USA

    Robert J. Zimmer

Authors
  1. Alexander Lubotzky
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  2. Robert J. Zimmer
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Research partially supported by a grant from the Israel-United States Binational Science Foundation.

Research partially supported by NSF Grant.

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Lubotzky, A., Zimmer, R.J. Variants of Kazhdan’s property for subgroups of semisimple groups. Israel J. Math. 66, 289–299 (1989). https://doi.org/10.1007/BF02765899

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  • DOI: https://doi.org/10.1007/BF02765899

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