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References
Akemann, C.A.: The dual space of an operator algebra. Trans. Amer. Math. Soc.126, 286–302 (1967)
Bunce, J.W., Paschke, W.L.: Derivations on aC *-algebra and its double dual. J. Funct. Analysis37, 235–247 (1980)
Choi, M.D., Effros, E.G.: NuclearC *-algebras and injectivity, the general case. Indiana Univ. J. Math.26, 443–446 (1977)
Choi, M.D., Effros, E.G.: NuclearC *-algebras and the approximation property. Amer. J. Math.100, 61–79 (1978)
Connes, A.: Classification of injective factors. Ann. Math.104, 73–116 (1976)
Connes, A.: On the cohomology of operator algebras. J. Funct. Analysis28, 248–253 (1978)
Cuntz, J.: SimpleC *-algebras generated by isometries. Commun. Math. Phys.57, 175–185 (1977)
Effros, E.G., Lance, E.C.: Tensor products of operator algebras. Advances in Math.100, 61–79 (1978)
Elliott, G.A.: On approximately finite dimensional algebras II. Canad. Math. Bull.21, 415–418 (1978)
Greenleaf, F.P.: Invariant means on topological groups. Van Nostrand, 1969
Haagerup, U.: The Grothendieck inequality for bilinear forms onC *-algebras. To appear in Adv. Math.
de la Harpe, P.: Moyennabilité du groupe unitaire et propriété P de Schwartz des algèbres de von Neumann. Lecture notes in Mathematics, vol. 725, pp. 220–227. Berlin-Heidelberg-New York: Springer 1979
Johnson, B.E.: Cohomology in Banach algebras. Mem. Amer. Math. Soc. 127 (1972)
Johnson, B.E.: Approximate diagonals and cohomology of certain annihilator Banach algebras. Amer. J. Math.94, 685–698 (1972)
Johnson, B.E., Kadison, R.V., Ringrose, J.R.: Cohomology of operator algebras III, reducting to normal cohomology. Bull. Soc. Math. France100, 73–96 (1972)
Pisier, G.: Grothendieck's Theorem for non commutativeC *-algebras with an appendix on Grothendieck's constant. J. Funct. Analysis29, 397–415 (1978)
Ringrose, J.R.: Automatic continuity of derivations of operator algebras. J. London Math. Soc.5, 432–438 (1972)
Rosenberg, J.: Amenability of crossed products ofC *-algebras. Commun. Math. Phys.57, 187–191 (1977)
Takesaki, M.: Theory of operator algebras I. Berlin-Heidelberg-New York: Springer 1979
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Haagerup, U. All nuclearC *-algebras are amenable. Invent Math 74, 305–319 (1983). https://doi.org/10.1007/BF01394319
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DOI: https://doi.org/10.1007/BF01394319