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*-regularity of exponential Lie groups. (English) Zbl 0423.22008


MSC:

22E25 Nilpotent and solvable Lie groups
22E27 Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.)
22D10 Unitary representations of locally compact groups
22D15 Group algebras of locally compact groups
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References:

[1] Bernat, P., Conze, N.: Représentations des groupes de Lie résolubles. Paris: Dunod 1972
[2] Boidol, J., Leptin, H., Schürmann, J., Vahle, D.: Räume primitiver Ideale von Gruppenalgebren. Math. Ann.236, 1-13 (1978) · Zbl 0371.46022 · doi:10.1007/BF01420252
[3] Boidol, J.: On a regularity condition for group algebras of non abelian locally compact groups. Preprint, Bielefeld 1978 · Zbl 0425.22008
[4] Brown, I.: Dual topology of a nilpotent Lie group. Ann. Sci. École Norm. Sup., 4e série, t.6, 407-411 (1973)
[5] Dixmier, J.: Bicontinuité dans la méthode du petit groupe de Mackey. Bull. Soc. Math. 2e série,97, 233-240 (1973) · Zbl 0274.22008
[6] Duflo, M.: Caractères des groupes et des algèbres de Lie résolubles. Ann. Sci. École Norm. Sup., 4e série, t.3, 23-74 (1970) · Zbl 0223.22016
[7] Leptin, H., Poguntke, D.: Symmetry and nonsymmetry for locally compact groups. Functional Analysis, in press (1980) · Zbl 0414.43004
[8] Poguntke, D.: Nicht symmetrische sechsdimensionale Liesche Gruppen. Journal Reine Angew. Math.306, 154-176 (1979) · Zbl 0395.22011 · doi:10.1515/crll.1979.306.154
[9] Poguntke, D.: Symmetry and nonsymmetry for a class of exponential Lie groups. Journal Reine Angew. Math., in press (1980) · Zbl 0419.22014
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