A decomposition theory for unitary representations of locally compact groups

Ernest, John

doi:10.1090/S0002-9904-1961-10629-0

A decomposition theory for unitary representations of locally compact groups
HTML articles powered by AMS MathViewer

by John Ernest PDF

Bull. Amer. Math. Soc. 67 (1961), 385-388

References

Jacques Dixmier, Les algèbres d’opérateurs dans l’espace hilbertien (Algèbres de von Neumann), Cahiers Scientifiques, Fasc. XXV, Gauthier-Villars, Paris, 1957 (French). MR 0094722
J. M. G. Fell, The dual spaces of $C^{\ast }$-algebras, Trans. Amer. Math. Soc. 94 (1960), 365–403. MR 146681, DOI 10.1090/S0002-9947-1960-0146681-0
Alain Guichardet, Sur un problème posé par G. W. Mackey, C. R. Acad. Sci. Paris 250 (1960), 962–963 (French). MR 110027
George W. Mackey, On induced representations of groups, Amer. J. Math. 73 (1951), 576–592. MR 42420, DOI 10.2307/2372309
George W. Mackey, Induced representations of locally compact groups. II. The Frobenius reciprocity theorem, Ann. of Math. (2) 58 (1953), 193–221. MR 56611, DOI 10.2307/1969786
George W. Mackey, Borel structure in groups and their duals, Trans. Amer. Math. Soc. 85 (1957), 134–165. MR 89999, DOI 10.1090/S0002-9947-1957-0089999-2
George W. Mackey, Unitary representations of group extensions. I, Acta Math. 99 (1958), 265–311. MR 98328, DOI 10.1007/BF02392428
F. I. Mautner, Unitary representations of locally compact groups. I, Ann. of Math. (2) 51 (1950), 1–25. MR 32650, DOI 10.2307/1969494
M. A. Naĭmark, Factor-representations of a locally compact group, Soviet Math. Dokl. 1 (1960), 1064–1066. MR 0124752
John von Neumann, On rings of operators. Reduction theory, Ann. of Math. (2) 50 (1949), 401–485. MR 29101, DOI 10.2307/1969463
I. E. Segal, Decompositions of operator algebras. I, Mem. Amer. Math. Soc. 9 (1951), 67. MR 44749

Additional Information

Journal: Bull. Amer. Math. Soc. 67 (1961), 385-388
DOI: https://doi.org/10.1090/S0002-9904-1961-10629-0
MathSciNet review: 0130930