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On the cohomology of ergodic group actions

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Abstract

We consider three problems concerning cocycles of ergodic group actions: behavior of cohomology under the restriction of an ergodic semi-simple Lie group action to a lattice subgroup; “compactness” of bounded cocyles; and the relation of relative almost periodicity to relative discrete spectrum for extensions of ergodic actions.

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Authors and Affiliations

  1. Department of Mathematics, The University of Chicago, 60637, Chicago, Ill., USA

    Robert J. Zimmer

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  1. Robert J. Zimmer
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Zimmer, R.J. On the cohomology of ergodic group actions. Israel J. Math. 35, 289–300 (1980). https://doi.org/10.1007/BF02760654

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  • DOI: https://doi.org/10.1007/BF02760654

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