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The trace in finite operator algebras. (English) Zbl 0103.08701


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[1] Leon Alaoglu, Weak topologies of normed linear spaces, Ann. of Math. (2) 41 (1940), 252 – 267. · Zbl 0023.12902 · doi:10.2307/1968829
[2] Jacques Dixmier, Les algèbres d’opérateurs dans l’espace hilbertien (Algèbres de von Neumann), Cahiers scientifiques, Fascicule XXV, Gauthier-Villars, Paris, 1957 (French). · Zbl 0088.32304
[3] Richard V. Kadison, On the additivity of the trace in finite factors, Proc. Nat. Acad. Sci. U. S. A. 41 (1955), 385 – 387. · Zbl 0064.36604
[4] Richard V. Kadison, Unitary invariants for representations of operator algebras, Ann. of Math. (2) 66 (1957), 304 – 379. · Zbl 0084.10705 · doi:10.2307/1970002
[5] Richard V. Kadison and I. M. Singer, Extensions of pure states, Amer. J. Math. 81 (1959), 383 – 400. · Zbl 0086.09704 · doi:10.2307/2372748
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