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Semicharacters and solvable Lie groups

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References

  1. Bernat, P., Conze, N., Duflo, M., Lévy-Nahas, M., Raïs, M., Renouard, P., Vergne, M.: Représentations des groupes de Lie résolubles. Paris: Dunod 1972

    Google Scholar 

  2. Bourbaki, N.: Livre V: Intégration. Chap. V: Integration des mesures. Deuxième édition revue et corrigée. Paris: Hermann 1967

    Google Scholar 

  3. Bourbaki, N.: Livre V: Intégration. Chap. VII–VIII. Mesure de Haar. Convolution et représentations. Paris: Hermann 1963

    Google Scholar 

  4. Chevalley, C.: Théorie des groupes de Lie. Paris: Hermann 1968

    Google Scholar 

  5. Connes, A.: Une classification des facteurs de type III. Ann. Sci. Ecole Norm. Sup.6, 133–252 (1973)

    Google Scholar 

  6. Combes, F.: Poids sur uneC*-algèbre. J. Math. Pures Appl.47, 57–100 (1968)

    Google Scholar 

  7. Combes, F.: Poids associé a une algebre Hilbertienne. Compositio Math.23, 49–77 (1971)

    Google Scholar 

  8. Dixmier, J.: Les algebrès d'operateurs dans l'espace Hilbertien. Paris: Gautier-Villars 1969

    Google Scholar 

  9. Dixmier, J.: LesC*-algebrès et leurs représentations. Paris: Gautier-Villars 1969

    Google Scholar 

  10. Dixmier, J.: Algèbres quasi-unitaires. Comment. Math. Helv.26, 275–322 (1952)

    Google Scholar 

  11. Dixmier, J.: L'application exponentielle dans les groupes de Lie résolubles. Bull. Soc. Math. France85, 113–121 (1957)

    Google Scholar 

  12. Duflo, M.: Caractères des représentations des groupes résolubles associées a une orbite entière. Chap. V., IX in [1]

    Google Scholar 

  13. Duflo, M., Raïs, M.: Sur l'analyse harmonique sur les groupes de Lie résolubles. Ann. Sci. Ecole Norm. Sup.9, 107–144 (1976)

    Google Scholar 

  14. Godement, R.: Sur la théorie des représentations unitaires. Ann. of Math.53, 68–124 (1951)

    Google Scholar 

  15. Godement, R.: Mémoire sur la théorie des caractères dans les groupes localement compacts unimodulaires. J. Math. Pures Appl.30, 1–110 (1951)

    Google Scholar 

  16. Godement, R.: Théorie des caractères. II. Définition et propriétés générales des caractères. Ann. of Math.59, 63–85 (1954)

    Google Scholar 

  17. Guichardet, A.: Caractères des algèbres de Banach involutives. Ann. Inst. Fourier13, 1–81 (1962)

    Google Scholar 

  18. Haagerup, U.: Normal weights onW*-algebras. J. Functional Analysis19, 302–317 (1975)

    Google Scholar 

  19. Helgason, S.: Differential geometry and symmetric spaces. New York, London: Academic Press 1962

    Google Scholar 

  20. Khalgui, M.S.: On the characters of connected solvable Lie groups. C.R. Acad. Sci. Paris284, 531–533 (1977)

    Google Scholar 

  21. Montgomery, D., Zippin, L.: Topological transformation groups. New York, London: Interscience 1955

    Google Scholar 

  22. Moore, C.C.: Square integrable primary representations. Pacific J. Math.70, 413–427 (1977)

    Google Scholar 

  23. Pedersen, G.K., Takesaki, M.: The Radon-Nikodym theorem for von Neumann algebras. Acta Math.130, 53–87 (1973)

    Google Scholar 

  24. Pukanszky, L.: Leçons sur les représentations des groupes. Paris: Dunod 1967

    Google Scholar 

  25. Pukanszky, L.: On the characters and Plancherel formula for nilpotent groups. J. Functional Analysis1, 255–280 (1967)

    Google Scholar 

  26. Pukanszky, L.: On the unitary representations of exponential groups. J. Functional Analysis2, 73–113 (1968)

    Google Scholar 

  27. Pukanszky, L.: Characters of algebraic solvable groups. J. Functional Analysis3, 435–491 (1969)

    Google Scholar 

  28. Pukanszky, L.: Unitary representations of solvable Lie groups. Ann. Sci. Ecole, Norm. Sup.4, 457–608 (1971)

    Google Scholar 

  29. Pukanszky, L.: Characters of connected Lie groups. Acta Math.133, 81–137 (1974)

    Google Scholar 

  30. Pukanszky, L.: Unitary representations of Lie groups with cocompact radical and applications. Trans. Amer. Math. Soc.236, 1–51 (1978)

    Google Scholar 

  31. Takesaki, M.: Tomitas theory of modular Hilbert algebras and its applications. Berlin, Heidelberg, New York: Springer 1970

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Pennsylvania, Philadelphia, PA, USA

    Niels Vigand Pedersen

  2. Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100, Copenhagen, Denmark

    Niels Vigand Pedersen

Authors
  1. Niels Vigand Pedersen
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Additional information

With partial support from SNF, Denmark

This work was performed while the author was a visitor at Department of Mathematics, University of Pennsylvania

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Pedersen, N.V. Semicharacters and solvable Lie groups. Math. Ann. 247, 191–244 (1980). https://doi.org/10.1007/BF01348956

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  • DOI: https://doi.org/10.1007/BF01348956

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