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Borel structure in groups and their duals. (English) Zbl 0082.11201


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[1] Arlen Brown, The unitary equivalence of binormal operators, Amer. J. Math. 76 (1954), 414 – 434. · Zbl 0055.33902 · doi:10.2307/2372582
[2] Roger Godement, Théorie des caractères. II. Définition et propriétés générales des caractères, Ann. of Math. (2) 59 (1954), 63 – 85 (French). · Zbl 0055.02103 · doi:10.2307/1969833
[3] Harry Gonshor, Spectral theory for a class of nonnormal operators, Canad. J. Math. 8 (1956), 449 – 461. · Zbl 0072.33202 · doi:10.4153/CJM-1956-054-4
[4] Richard V. Kadison, Multiplicity theory for operator algebras, Proc. Nat. Acad. Sci. U.S.A. 41 (1955), 169 – 173. · Zbl 0084.10704
[5] Irving Kaplansky, The structure of certain operator algebras, Trans. Amer. Math. Soc. 70 (1951), 219 – 255. · Zbl 0042.34901
[6] Casimir Kuratowski, Topologie. I. Espaces Métrisables, Espaces Complets, Monografie Matematyczne, vol. 20, Warszawa-Wrocław, 1948 (French). 2d ed. · Zbl 0041.09603
[7] L. H. Loomis, Abstract harmonic analysis, New York, 1953. · Zbl 0052.11701
[8] George W. Mackey, A theorem of Stone and von Neumann, Duke Math. J. 16 (1949), 313 – 326. · Zbl 0036.07703
[9] George W. Mackey, Imprimitivity for representations of locally compact groups. I, Proc. Nat. Acad. Sci. U. S. A. 35 (1949), 537 – 545. · Zbl 0035.06901
[10] George W. Mackey, On induced representations of groups, Amer. J. Math. 73 (1951), 576 – 592. · Zbl 0045.30305 · doi:10.2307/2372309
[11] George W. Mackey, Induced representations of locally compact groups. I, Ann. of Math. (2) 55 (1952), 101 – 139. · Zbl 0046.11601 · doi:10.2307/1969423
[12] George W. Mackey, Induced representations of locally compact groups. II. The Frobenius reciprocity theorem, Ann. of Math. (2) 58 (1953), 193 – 221. · Zbl 0051.01901 · doi:10.2307/1969786
[13] -, Les ensembles Boréliens et les extensions des groupes, submitted to J. Math. Pures Appl.
[14] John von Neumann, On rings of operators. Reduction theory, Ann. of Math. (2) 50 (1949), 401 – 485. · Zbl 0034.06102 · doi:10.2307/1969463
[15] A. Weil, L’intégration dans les groupes topologiques et ses applications, Actualitiés Scientifiques et Industrielles, no. 869, Paris (1938).
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