Variants of Kazhdan's property for subgroups of semisimple groups

Alexander Lubotzky; Robert J. Zimmer

doi:10.1007/BF02765899

Variants of Kazhdan's property for subgroups of semisimple groups

Alexander Lubotzky^*, Robert J. Zimmer

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

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.

Original language	English
Pages (from-to)	289-299
Number of pages	11
Journal	Israel Journal of Mathematics
Volume	66
Issue number	1-3
DOIs	https://doi.org/10.1007/BF02765899
State	Published - Dec 1989

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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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Variants of Kazhdan's property for subgroups of semisimple groups

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