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Hyperfinite factors of types II\(_\infty\) and III. (English. Russian original) Zbl 0245.46095
Funct. Anal. Appl. 5, 118-124 (1971); translation from Funkts. Anal. Prilozh. 5, No. 2, 37-44 (1971).
MSC:
46L10 General theory of von Neumann algebras
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References:
[1] F. J. Murray and J. von Neumann, ”On rings of operators,” Ann. Math.,44, 716-808 (1943). · Zbl 0060.26903 · doi:10.2307/1969107
[2] M. A. Naimark, Normed Rings [in Russian], Nauka, Moscow (1969).
[3] J. Dixmier, Les Algebres d’operateurs dans l’espace Hilbertiene, Gauthier-Villars, Paris (1957).
[4] R. T. Powers, ”Representations of uniformly hyperfinite algebras and their associated von Neumann rings,” Ann. Math.86, No. 1, 138-171 (1967). · Zbl 0157.20605 · doi:10.2307/1970364
[5] V. Ya. Golodets, On Groups of Transformations which leave a Measure Quasi-invariant, Preprint, FTINT, Akad. Nauk Ukrainsk. SSR, Kharkov (1969). · Zbl 0201.46102
[6] V. Ya. Golodets, ”Cross products of von Neumann algebras,” Uspekhi Mat. Nauk,26 (1971). · Zbl 0225.46062
[7] H. A. Dye, ”On groups of measure preserving transformations. II,” Amer. J. Math.,55, No. 4, 551-576 (1963). · Zbl 0191.42803 · doi:10.2307/2373108
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