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Hyperfinite factors and amenable ergodic actions. (English) Zbl 0361.46061


MSC:

46L10 General theory of von Neumann algebras
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References:

[1] Connes, A.: Classification of injective factors. Ann. Math.,104, 73-115 (1976) · Zbl 0343.46042
[2] Feldman, J., Moore, C.C.: Ergodic equivalence relations, cohomology, and von Neumann algebras, I. To appear · Zbl 0369.22009
[3] Feldman, J., Moore, C.C.: Ergodic equivalence relations, cohomology, and von Neumann algebras, II. To appear · Zbl 0369.22010
[4] Krieger, W.: On constructing non-*-isomorphic hyperfinite factors of type III. J. functional Analysis,6, 97-109 (1970) · Zbl 0209.44601
[5] Sakai, S.:C *-algebras andW *-algebras. New York: Springer 1971 · Zbl 0219.46042
[6] Tomiyama, J.: On the projection of norm one inW *-algebras. Proc. Japan Acad.,33, 608-612 (1957) · Zbl 0081.11201
[7] Zimmer, R.J.: Amenable ergodic group actions and an application to Poisson boundaries of random walks. J. functional Analysis (to appear) · Zbl 0391.28011
[8] Zimmer, R.J.: On the von Neumann algebra of an ergodic group action. Proc. Amer. math. Soc. (to appear) · Zbl 0367.28013
[9] Zimmer, R.J.: Compactness conditions on cocycles of ergodic transformation groups, J. London math. Soc. (to appear) · Zbl 0357.28016
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