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Characterization of objects dual to locally compact groups. (English. Russian original) Zbl 0312.22007

Funct. Anal. Appl. 8, 66-67 (1974); translation from Funkts. Anal. Prilozh. 8, No. 1, 75-76 (1974).

MSC:

22D35 Duality theorems for locally compact groups
46L10 General theory of von Neumann algebras
22D25 \(C^*\)-algebras and \(W^*\)-algebras in relation to group representations
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References:

[1] G. I. Kats, Transactions of the Moscow Mathematical Society [in Russian],12, 259–301 (1963);13, 84–113 (1965).
[2] M. Takesaki, Amer. J. Math.,91, No. 2, 529–564 (1969). · Zbl 0182.18103 · doi:10.2307/2373525
[3] M. Takesaki, Bull. Amer. Math. Soc.,77, No. 4, 553–557 (1971). · Zbl 0238.46062 · doi:10.1090/S0002-9904-1971-12752-0
[4] M. Takesaki, Tomita’s Theory for Modular Hilbert Algebras and Its Applications. Lecture Notes in Mathematics No. 128, Springer Verlag, Berlin–New York (1970). · Zbl 0193.42502
[5] F. Combes, Composition Math.,23, No. 1, 49–77 (1971). · Zbl 0259.02003
[6] J. Dixmier, Les Algebres d’Operateurs dans l’Espace Hilbertien (Algebres von Neumann), Paris (1969). · Zbl 0175.43801
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