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Property T and asymptotically invariant sequences

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Abstract

A countable group Γ has property T of Kazhdan if and only if no measure preserving ergodic action of Γ has non-trivial asymptotically invariant sets.

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References

  1. D. A. KazhdanConnection of the dual space of a group with the structure of its closed subgroups, Funktional'nji Analizi Ego Prilozheniya1 (1967), 71–74.

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  2. K. Schmidt,Asymptotically invariant sequences and an action of SL (2,Z)on the 2-sphere, Israel J. Math.37 (1980), 193–208.

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Authors and Affiliations

  1. Institut des Hautes Etude Scientifiques, Bures-sur-Yvette, France

    A. Connes & B. Weiss

  2. Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel

    A. Connes & B. Weiss

Authors
  1. A. Connes
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  2. B. Weiss
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Connes, A., Weiss, B. Property T and asymptotically invariant sequences. Israel J. Math. 37, 209–210 (1980). https://doi.org/10.1007/BF02760962

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  • DOI: https://doi.org/10.1007/BF02760962

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