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Ergodic theory of amenable group actions. I: The Rohlin lemma. (English) Zbl 0427.28018


MSC:

28D15 General groups of measure-preserving transformations
28D05 Measure-preserving transformations
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References:

[1] Frederick P. Greenleaf, Ergodic theorems and the construction of summing sequences in amenable locally compact groups, Comm. Pure Appl. Math. 26 (1973), 29 – 46. · Zbl 0243.22005 · doi:10.1002/cpa.3160260103
[2] J. C. Kieffer, A generalized Shannon-McMillan theorem for the action of an amenable group on a probability space, Ann. Probability 3 (1975), no. 6, 1031 – 1037. · Zbl 0322.60032
[3] Yitzhak Katznelson and Benjamin Weiss, Commuting measure-preserving transformations, Israel J. Math. 12 (1972), 161 – 173. · Zbl 0239.28014 · doi:10.1007/BF02764660
[4] D. A. Lind, Locally compact measure preserving flows, Advances in Math. 15 (1975), 175 – 193. · Zbl 0293.28012 · doi:10.1016/0001-8708(75)90133-4
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