Sur le dual d'un groupe de Lie résoluble exponentiel

Hidénori FUJIWARA

doi:10.2969/jmsj/03640629

Hidénori FUJIWARA

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JOURNAL FREE ACCESS

1984 Volume 36 Issue 4 Pages 629-636

DOI https://doi.org/10.2969/jmsj/03640629

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Published: 1984 Received: October 28, 1983 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Right : [1] P. Bernat, Sur les représentations unitaires des groupes de Lie résolubles, Ann. Sci. École Norm. Sup., 82 (1965), 37-99.
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[3] J. Boidol, *-regularity of exponential Lie groups, Invent. Math., 56 (1980), 231-238.
[4] I. Brown, Dual topology of a nilpotent Lie group, Ann. Sci. École Norm. Sup., 6 (1973), 407-411.
[5] J. Dixmier, Les C-algèbres et leurs représentations, Gauthier-Villars, Paris, 1964.
[6] J. Dixmier, Bicontinuité dans la méthode du petit groupe de Mackey, Bull. Soc. Math. France, 97 (1973), 233-240.
[7] J. M. G. Fell, The dual space of C-algebras, Trans. Amer. Math. Soc., 94 (1960), 365-403.
[8] J. M. G. Fell, Weak containment and induced representations of groups, Canad. J. Math., 14 (1962), 237-268.
[9] J. M. G. Fell, Weak containment and Kronecker products of group representations, Pacific J. Math., 13 (1963), 503-510.
[10] G. Grélaud, Désintégration de représentations induites d'un groupe de Lie résoluble exponentiel, C. R. Acad. Sci. Paris Sér. A, 277 (1973), 327-330.
[11] K. Joy, A description of the topology on the dual space of a nilpotent Lie group, Thèse, Univ. of Colorado, Boulder, 1977.
[12] A. A. Kirillov, Unitary representations of nilpotent Lie groups, Uspehi Mat. Nauk, 17 (1962), 57-110.
[13] L. Pukanszky, Leçons sur les représentations des groupes, Dunod, Paris, 1967.
[14] L. Pukanszky, On unitary representations of exponential groups, J. Func. Anal., 2 (1968), 73-113.
[15] S. R. Quint, Decomposition of induced representations of solvable exponential Lie groups, These, Univ. of California, Berkeley, 1973.
[16] J. Rosenberg, The dual topology of a crossed product and applications to group representations, Proc. Symp. Pure Math., 38 (1982), 361-363.

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