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Pukanszky, L.

Characters of connected Lie groups. (English) Zbl 0323.22011

Acta Math. 133, 81-137 (1974).
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Cited in 3 Reviews
Cited in 34 Documents

MSC:

22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
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References:

[1] Auslander, L. &Kostant, B., Polarization and unitary representations of solvable groups.Invent. Math., 14 (1971), 255–354. · Zbl 0233.22005 · doi:10.1007/BF01389744
[2] Chevalley, C.,Théorie des groupes de Lie, vol. II, Groupes algébriques. Act. Sci. Ind. no 1152, Hermann, Paris, 1951.
[3] Dixmier, J., Sur les C* algèbres.Bull. Soc. Math. France, 88 (1960), 95–112. · Zbl 0124.32403
[4] –Les C * algèbres et leurs représentations. Gauthier-Villars, Paris, 1964.
[5] –,Les algèbres d’opérateurs dans l’espace hilbertien, 2nd edition. Gauthier-Villars, Paris, 1969.
[6] – Sur la représentation régulière d’un groupe localement compact connexe.Ann. Sci. École Norm. Sup., 2 (1969), 423–436. · Zbl 0186.46304
[7] Duflo, M., Caractères des groupes et des algèbres de Lie résolubles,Ann. Sci. École Norm. Sup., 3 (1970), 23–74. · Zbl 0223.22016
[8] Effros, E. G., A decomposition theory for representations of C* algebras.Trans. Amer. Math. Soc., 107 (1963), 83–106. · Zbl 0113.09602
[9] Fell, J. M. G., The structure of algebras of operator fields.Acta Math., 106 (1961), 233–280. · Zbl 0101.09301 · doi:10.1007/BF02545788
[10] Glimm, J., Locally compact transformation groups.Trans. Amer. Math. Soc., 101 (1961), 124–138. · Zbl 0119.10802 · doi:10.1090/S0002-9947-1961-0136681-X
[11] Godement, R., Sur la théorie des représentations unitaires.Ann. of Math., 53 (1951), 68–124. · Zbl 0042.34606 · doi:10.2307/1969343
[12] – Mémoire sur la théorie des caractères dans les groupes localement compacts unimodulaires.J. Math. Pures Appl., 30 (1951), 1–110.
[13] – Théorie des caractères II. Définition et propriétés générales des caractères.Ann. of Math., 59 (1954), 63–85. · doi:10.2307/1969833
[14] Guichardet, A., Caractères des algèbres de Banach involutives.Ann. Inst. Fourier, 13 (1962), 1–81. · Zbl 0124.07003
[15] Halpern, H., Quasi-equivalence classes of normal representations for a separable C* algebra. To appear. · Zbl 0295.46087
[16] Mackey, G. W., Induced representations of locally compact groups I.Ann. of Math., 55 (1952), 101–139. · Zbl 0046.11601 · doi:10.2307/1969423
[17] – Induced representations of locally compact groups II.Ann. of Math., 58 (1953), 193–222. · Zbl 0051.01901 · doi:10.2307/1969786
[18] – Borel structure in groups and their duals.Trans. Amer. Math. Soc., 85 (1957), 134–165. · Zbl 0082.11201 · doi:10.1090/S0002-9947-1957-0089999-2
[19] – Unitary representations of group extensions.Acta Math., 99 (1958), 265–311. · Zbl 0082.11301 · doi:10.1007/BF02392428
[20] Mackey, G. W., Induced representations and normal subgroups,Proc. of the Internatioal Symposium on linear spaces, Jerusalem, 1960, 319–326.
[21] Pukanszky, L., Characters of algebraic solvable groups.J. Functional Analysis, 3 (1969), 435–491. · Zbl 0186.20004 · doi:10.1016/0022-1236(69)90034-2
[22] – Unitary representations of solvable Lie groups,Ann. Sci. École Norm. Sup., 4 (1971), 457–608. · Zbl 0238.22010
[23] – Action of algebraic groups of automorphisms on the dual of a class of type I groups.Ann. Sci. École Norm. Sup., 5 (1972), 379–396. · Zbl 0263.22011
[24] – The primitive ideal space of solvable Lie groups.Invent. Math., 22 (1973), 74–118. · Zbl 0294.22009 · doi:10.1007/BF01392298
[25] Pukanszky, L., Characters of connected Lie groups. To appear in theBull. Amer. Math. Soc. · Zbl 0293.22025
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