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Zimmer, Robert J.

On the cohomology of ergodic group actions. (English) Zbl 0442.28026

Isr. J. Math. 35, 289-300 (1980).
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Cited in 1 Review
Cited in 7 Documents

MSC:

28D15 General groups of measure-preserving transformations

Keywords:

cohomology; cocycles of ergodic actions; standard Borel group; semisimple Lie group
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References:

[1] Effros, E. G., Transformation groups and C^*-algebras, Ann. of Math., 81, 38-55 (1965) · Zbl 0152.33203 · doi:10.2307/1970381
[2] Feldman, J.; Moore, C. C., Ergodic equivalence relations, cohomology, and Von Neumann algebras, I, II, Trans. Amer. Math. Soc., 234, 289-360 (1977) · Zbl 0369.22009 · doi:10.2307/1997924
[3] J. Feldman, P. Hahn and C. C. Moore,Orbit structure and countable sections for actions of continuous groups, preprint. · Zbl 0392.28023
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[5] Moore, C. C., Ergodicity of flows on homogeneous spaces, Amer. J. Math., 88, 154-178 (1966) · Zbl 0148.37902 · doi:10.2307/2373052
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[8] K. Schmidt,Cocycles on ergodic transformation groups, preprint. · Zbl 0421.28017
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[10] Varadarajan, V. S., Geometry of Quantum Theory (1970), Princeton, N.J.: Van Nostrand, Princeton, N.J. · Zbl 0194.28802
[11] Zimmer, R. J., Extensions of ergodic group actions, Illinois J. Math., 20, 373-409 (1976) · Zbl 0334.28015
[12] Zimmer, R. J., Ergodic actions with generalized discrete spectrum, Illinois J. Math., 20, 555-588 (1976) · Zbl 0349.28011
[13] Zimmer, R. J., Normal ergodic actions, J. Functional Analysis, 25, 286-305 (1977) · Zbl 0353.28010 · doi:10.1016/0022-1236(77)90075-1
[14] Zimmer, R. J., Compactness conditions on cocycles of ergodic transformation groups, J. London Math. Soc., 15, 155-163 (1977) · Zbl 0357.28016 · doi:10.1112/jlms/s2-15.1.155
[15] Zimmer, R. J., Orbit spaces of unitary representations, ergodic theory, and simple Lie groups, Ann. of Math., 106, 573-588 (1977) · Zbl 0393.22006 · doi:10.2307/1971068
[16] Zimmer, R. J., Amenable ergodic group actions and an application to Poisson boundaries of random walks, J. Functional Analysis, 27, 350-372 (1978) · Zbl 0391.28011 · doi:10.1016/0022-1236(78)90013-7
[17] Zimmer, R. J., Amenable pairs of groups and ergodic actions and the associated Von Neumann algebras, Trans. Amer. Math. Soc., 243, 271-286 (1978) · Zbl 0408.22011 · doi:10.2307/1997767
[18] Zimmer, R. J., Induced and amenable ergodic actions of Lie groups, Ann. Sci. École Norm. Sup., 11, 407-428 (1978) · Zbl 0401.22009
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