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Good ideals in the group algebra of a nilpotent Lie group. (English) Zbl 0365.22007

MSC:
22D15 Group algebras of locally compact groups
22E25 Nilpotent and solvable Lie groups
22E60 Lie algebras of Lie groups
22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
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References:
[1] Blattner, R.: On induced representations. Amer. J. Math.83, 79-98 (1961) · Zbl 0122.28405 · doi:10.2307/2372722
[2] Brown, D.: Dual topology of a nilpotent Lie group. Ann. Sci. École Norm. Sup.6, 407-411 (1973) · Zbl 0284.57026
[3] Dixmier, J.: LesC *-Algèbres et leurs Représentations. Paris: Gauthier-Villars 1969
[4] Leptin, H.: Ideal theory in Group algebras of locally compact groups. Invent. Math.31, 259-278 (1976) · Zbl 0328.22012 · doi:10.1007/BF01403147
[5] Mackey, G. W.: Induced representations of locally compact groups I. Ann. of Math.55, 101-139 (1952) · Zbl 0046.11601 · doi:10.2307/1969423
[6] Pukanszky, L.: Lecons sur les représentations des groupes. Paris: Dunod 1966
[7] Pukanszky, L.: The primitive ideal space of solvable Lie groups. Invent. Math.22, 75-118 (1973) · Zbl 0294.22009 · doi:10.1007/BF01392298
[8] Reiter, H.: Classical harmonic analysis and locally compact groups. Oxford: Clarendon Press 1968 · Zbl 0165.15601
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