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Cohomology of operator algebras. III: Reduction to normal cohomology. (English) Zbl 0234.46066


MSC:

46L10 General theory of von Neumann algebras
46M20 Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.)
46L05 General theory of \(C^*\)-algebras
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References:

[1] AKEMANN (C. A.) . - The dual space of an operator algebra , Trans. Amer. math. Soc., t. 126, 1967 , p. 286-302. MR 34 #6549 | Zbl 0157.44603 · Zbl 0157.44603 · doi:10.2307/1994455
[2] DAY (M. M.) . - Amenable semi-groups , Illinois J. Math., t. 1, 1957 , p. 509-544. Article | MR 19,1067c | Zbl 0078.29402 · Zbl 0078.29402
[3] DIXMIER (J.) . - Les algèbres d’opérateurs dans l’espace hilbertien . 2e édition. - Paris, Gauthier-Villars, 1969 (Cahiers scientifiques, 25). Zbl 0175.43801 · Zbl 0175.43801
[4] HOCHSCHILD (G. P.) . - On the cohomology groups of an associative algebra , Annals of Math., t. 46, 1945 , p. 58-67. MR 6,114f | Zbl 0063.02029 · Zbl 0063.02029 · doi:10.2307/1969145
[5] JOHNSON (B. E.) . - Cohomology in Banach algebras (to appear). · Zbl 0256.18014
[6] KADISON (R. V.) . - Derivations of operator algebras , Annals of Math., t. 83, 1966 , p. 280-293. MR 33 #1747 | Zbl 0139.30503 · Zbl 0139.30503 · doi:10.2307/1970433
[7] KADISON (R. V.) and RINGROSE (J. R.) . - Cohomology of operator algebras , I: Type I von Neumann algebras, Acta Math., Uppsala, t. 126, 1971 , p. 227-243. MR 44 #809 | Zbl 0209.44501 · Zbl 0209.44501 · doi:10.1007/BF02392032
[8] KADISON (R. V.) and RINGROSE (J. R.) . - Cohomology of operator algebras , II: Extended cobounding and the hyperfinite case, Arkiv. för Mat., t. 9, 1971 , p. 55-63. MR 47 #7453 | Zbl 0214.38402 · Zbl 0214.38402 · doi:10.1007/BF02383637
[9] TAKESAKI (M.) . - On the conjugate space of an operator algebra , Tôhoku math. J., t. 10, 1958 , p. 194-203. Article | MR 20 #7227 | Zbl 0089.10703 · Zbl 0089.10703 · doi:10.2748/tmj/1178244713
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