A note on Mackey’s imprimitivity theorem
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- by Peter R. Mueller-Roemer PDF
- Bull. Amer. Math. Soc. 77 (1971), 1089-1090
References
- Robert J. Blattner, On induced representations, Amer. J. Math. 83 (1961), 79–98. MR 125456, DOI 10.2307/2372722
- Robert J. Blattner, Positive definite measures, Proc. Amer. Math. Soc. 14 (1963), 423–428. MR 147580, DOI 10.1090/S0002-9939-1963-0147580-9
- J. M. G. Fell, An extension of Mackey’s method to Banach $^{\ast }$ algebraic bundles, Memoirs of the American Mathematical Society, No. 90, American Mathematical Society, Providence, R.I., 1969. MR 0259619
- H. Leptin, Verallgemeinerte $L^{1}$-Algebren und projektive Darstellungen lokal kompakter Gruppen. I, II, Invent. Math. 3 (1967), 257–281; ibid. 4 (1967), 68–86 (German). MR 229754, DOI 10.1007/BF01402952
- H. Leptin, Darstellungen verallgemeinerter $L^{1}$-Algebren, Invent. Math. 5 (1968), 192–215 (German). MR 236727, DOI 10.1007/BF01425550
- George W. Mackey, Imprimitivity for representations of locally compact groups. I, Proc. Nat. Acad. Sci. U.S.A. 35 (1949), 537–545. MR 31489, DOI 10.1073/pnas.35.9.537
- George W. Mackey, Induced representations of groups and quantum mechanics, W. A. Benjamin, Inc., New York-Amsterdam; Editore Boringhieri, Turin, 1968. MR 0507212
Additional Information
- Journal: Bull. Amer. Math. Soc. 77 (1971), 1089-1090
- MSC (1970): Primary 43A65, 43A20; Secondary 81A54
- DOI: https://doi.org/10.1090/S0002-9904-1971-12880-X
- MathSciNet review: 0289719