Weak containment and induced representations of groups. II
HTML articles powered by AMS MathViewer
- by J. M. G. Fell
- Trans. Amer. Math. Soc. 110 (1964), 424-447
- DOI: https://doi.org/10.1090/S0002-9947-1964-0159898-X
- PDF | Request permission
References
- F. A. Berezin, Laplace operators on semi-simple Lie groups, Trudy Moskov. Mat. Obšč. 6 (1957), 371–463 (Russian). MR 0090769
- 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, 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
- J. M. G. Fell, Weak containment and induced representations of groups, Canadian J. Math. 14 (1962), 237–268. MR 150241, DOI 10.4153/CJM-1962-016-6
- J. M. G. Fell, The structure of algebras of operator fields, Acta Math. 106 (1961), 233–280. MR 164248, DOI 10.1007/BF02545788
- J. M. G. Fell, A Hausdorff topology for the closed subsets of a locally compact non-Hausdorff space, Proc. Amer. Math. Soc. 13 (1962), 472–476. MR 139135, DOI 10.1090/S0002-9939-1962-0139135-6
- J. M. G. Fell, Weak containment and Kronecker products of group representations, Pacific J. Math. 13 (1963), 503–510. MR 155932, DOI 10.2140/pjm.1963.13.503
- I. M. Gel′fand and M. A. Naĭmark, Unitarnye predstavleniya klassičeskih grupp, Izdat. Nauk SSSR, Moscow-Leningrad, 1950 (Russian). Trudy Mat. Inst. Steklov. no. 36,. MR 0046370
- James Glimm, Type I $C^{\ast }$-algebras, Ann. of Math. (2) 73 (1961), 572–612. MR 124756, DOI 10.2307/1970319
- James Glimm, Families of induced representations, Pacific J. Math. 12 (1962), 885–911. MR 146297, DOI 10.2140/pjm.1962.12.885
- Roger Godement, Les fonctions de type positif et la théorie des groupes, Trans. Amer. Math. Soc. 63 (1948), 1–84 (French). MR 23243, DOI 10.1090/S0002-9947-1948-0023243-1
- A. A. Kirillov, Unitary representations of nilpotent Lie groups, Uspehi Mat. Nauk 17 (1962), no. 4 (106), 57–110 (Russian). MR 0142001
- George W. Mackey, Induced representations of locally compact groups. I, Ann. of Math. (2) 55 (1952), 101–139. MR 44536, DOI 10.2307/1969423
- 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, A generalization of the Frobenius reciprocity theorem, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 431–435. MR 43097, DOI 10.1073/pnas.37.7.431
- M. A. Naĭmark, Normed rings, Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow, 1956 (Russian). MR 0090786
- M. A. Naĭmark, Description of all irreducible unitary representations of the classical groups, Doklady Akad. Nauk SSSR (N.S.) 84 (1952), 883–886 (Russian). MR 0048454
- Osamu Takenouchi, Sur une classe de fonctions continues de type positif sur un groupe localement compact, Math. J. Okayama Univ. 4 (1955), 143–173 (French). MR 69186 A. Weil, L’intégration dans les groupes topologiques et ses applications, Hermann, Paris, 1940.
- Hisaaki Yoshizawa, Some remarks on unitary representations of the free group, Osaka Math. J. 3 (1951), 55–63. MR 41854
Bibliographic Information
- © Copyright 1964 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 110 (1964), 424-447
- MSC: Primary 22.60
- DOI: https://doi.org/10.1090/S0002-9947-1964-0159898-X
- MathSciNet review: 0159898