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Zimmer, Robert J.

Amenable ergodic group actions and an application to Poisson boundaries of random walks. (English) Zbl 0391.28011

J. Funct. Anal. 27, 350-372 (1978).
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Cited in 6 Reviews
Cited in 95 Documents

MSC:

28D15 General groups of measure-preserving transformations
22D40 Ergodic theory on groups

Keywords:

Separable Banach Space; Skew Product Extensions; Locally Compact Group; Poisson Boundaries of Random Walks; Borel Field of Compact Convex Sets; Poisson Boundaries; Borel Cocycle; Amenable Ergodic Group Actions; Ergodic G-Space; Range of a Cocycle; Standard Borel G-Space; QuasiInvariant Measure
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\textit{R. J. Zimmer}, J. Funct. Anal. 27, 350--372 (1978; Zbl 0391.28011)
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References:

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[14] Varadarajan, V.S, ()
[15] Westman, J.J, Virtual group homomorphisms with dense range, Illinois J. math., 20, 41-47, (1976) · Zbl 0326.28028
[16] Zimmer, R.J, Extensions of ergodic group actions, Illinois J. math., 20, 373-409, (1976) · Zbl 0334.28015
[17] Zimmer, R.J, Normal ergodic actions, J. functional analysis, 25, 286-305, (1977) · Zbl 0353.28010
[18] Zimmer, R.J, Random walks on compact groups and the existence of cocycles, Israel J. math., 26, 84-90, (1977) · Zbl 0344.28010
[19] Zimmer, R.J, Cocycles and the structure of ergodic group actions, Israel J. math., 26, 214-220, (1977) · Zbl 0352.22007
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