Skip to main content
SpringerLink
Log in

Non-unitary dual spaces of groups

  • Published:
Acta Mathematica

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Bernat, P. &Dixmier, J., Sur le dual d'un groupe de Lie.C. R. Acad. Sci. Paris, 250 (1960), 1778–1779.

    MathSciNet  MATH  Google Scholar 

  2. de Leeuw, K. & Glicksberg I., The decomposition of certain group representations. To appear inJournal d'Analyse.

  3. Fell, J. M. G., The dual spaces of C*-algebras.Trans. Amer. Math. Soc., 94 (1960), 365–403.

    Article  MATH  MathSciNet  Google Scholar 

  4. —, Weak containment and induced representations of groups.Canad. J. Math., 14 (1962), 237–268.

    MATH  MathSciNet  Google Scholar 

  5. —, The dual spaces of Banach algebras.Trans. Amer. Math. Soc., 114 (1965), 227–250.

    Article  MATH  MathSciNet  Google Scholar 

  6. Fell, J. M. G., Algebras and fiber bundles. To appear inPacific J. Math.

  7. Gelfand, I. M. &Raikov, D. A., Irreducible unitary representations of locally bicompact groups.Dokl. Akad. Nauk SSSR, N.S. 42 (1944), 199–201.

    MathSciNet  Google Scholar 

  8. Godement, R., A theory of spherical functions, I.Trans. Amer. Math. Soc., 73 (1952), 496–556.

    Article  MATH  MathSciNet  Google Scholar 

  9. Harish-Chandra, Representations of a semisimple Lie group on a Banach space, I.Trans. Amer. Math. Soc., 75 (1953), 185–243.

    Article  MathSciNet  MATH  Google Scholar 

  10. —, Representations of semisimple Lie groups, II.Trans. Amer. Math. Soc., 76 (1954), 26–65.

    Article  MathSciNet  Google Scholar 

  11. Helgason, S.,Differential Geometry and Symmetric Spaces. Academic Press, New York, 1962.

    MATH  Google Scholar 

  12. Hewitt, E., &Ross, K. A.,Abstract harmonic analysis I. Die Grundlehren der mathematischen Wissenschaften, Band 115, Springer-Verlag, Berlin, 1963.

    MATH  Google Scholar 

  13. Jacobson, N.,Structure of rings. Amer. Math. Soc. Colloq. Publ., vol. 37, Amer. Math. Soc., Providence, R.I., 1956.

    MATH  Google Scholar 

  14. Mackey, G. W.,Mimeographed notes on group representations. Univ. of Chicago, 1956.

  15. —, Unitary representations of group extensions, I.Acta Math., 99 (1958), 265–311.

    MATH  MathSciNet  Google Scholar 

  16. —, Infinite-dimensional group representations.Bull. Amer. Math. Soc., 69 (1963), 628–686.

    Article  MATH  MathSciNet  Google Scholar 

  17. Naimark, M. A.,Linear Representations of the Lorentz group. Gos. Izdat. Fiz.-Mat. Lit., Moscow, 1958.

    Google Scholar 

  18. Nelson, Edward, Analytic vectors.Ann. of Math., 70 (1959), 572–615.

    Article  MATH  MathSciNet  Google Scholar 

  19. Séminaire Sophus Lie. Théorie des algèbres de Lie. Topologie des groupes de Lie. Paris, 1955.

Download references

Author information

Authors and Affiliations

  1. University of Washington, Seattle, Wash., U.S.A.

    J. M. G. Fell

Authors
  1. J. M. G. Fell
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fell, J.M.G. Non-unitary dual spaces of groups. Acta Math. 114, 267–310 (1965). https://doi.org/10.1007/BF02391824

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02391824

Keywords

Search

Navigation