Skip to main content
SpringerLink
Log in

On Mackey's imprimitivity theorem

  • Published:
Commentarii Mathematici Helvetici

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. Mackey G. W.,Imprimitivity for representations of locally compact groups I, Proc. Natl. Acad. Sci. U.S.A.35 (1949), 537–545.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  3. Fell J. M. G., “Induced Representations and Banach *-Algebraic Bundles,”Lecture Notes in Mathematics 582, Springer-Verlag, Berlin 1977.

    Book  MATH  Google Scholar 

  4. Scutaru H.,Coherent states and induced representations, Letters Math. Phys.2 (1977), 101–107.

    Article  MathSciNet  MATH  Google Scholar 

  5. Schwartz L., “Radon Measures on Arbitrary Topological Spaces and Cylindrical Measures,” Oxford University Press, London 1973.

    MATH  Google Scholar 

  6. Bourbaki N., “Éléments de mathématique. Topologie générale II (Nouvelle édition), Chaps. 5 à 10”, Hermann, Paris 1974.

    MATH  Google Scholar 

  7. Hoffmann-Jørgensen J., “The Theory of Analytic Spaces,” Various Publication Series No.10, University of Aarhus 1970.

  8. Mackey G. W.,Borel structure in groups and their duals. Trans. Amer. Math. Soc.85 (1957), 134–165.

    Article  MathSciNet  MATH  Google Scholar 

  9. Halmos, P. R., “Measure Theory,” Van Nostrand, Princeton 1950.

    Book  MATH  Google Scholar 

  10. Neumark M. A. On a representation of additive operator set functions, C. R. (Doklady) Acad. Sci. URSS41 (1943), 359–361.

    MathSciNet  MATH  Google Scholar 

  11. Bourbaki N., “Éléments de mathématique. Livre V: Espaces vectoriels topologiques, Chaps. 3 à 5” (ASI 1229), Hermann, Paris 1967.

    Google Scholar 

  12. Dixmier J.,Dual et quasi-dual d'une algèbre de Banach involutive, Trans. Amer. Math. Soc.104 (1962), 278–283.

    MathSciNet  MATH  Google Scholar 

  13. Bourbaki N., “Éléments de mathématique. Livre VI: Intégration, Chap. 6” (ASI 1281), Hermann, Paris 1959.

    Google Scholar 

  14. Stinespring W. F.,Positive functions on C *-algebras, Proc. Amer. Math. Soc.6 (1955), 211–216.

    MathSciNet  MATH  Google Scholar 

  15. Blattner R. J.,On induced representations, Amer. J. Math.83 (1961), 79–98.

    Article  MathSciNet  MATH  Google Scholar 

  16. Bourbaki N., “Éléments de mathématique. Livre VI: Intégration, Chaps. 7 et 8” (ASI 1306), Hermann, Paris 1963.

    Google Scholar 

  17. Blattner R. J.,Positive definite measures, Proc. Amer. Math. Soc.14 (1963), 423–428.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut de Physique, Université de Neuchâtel, CH-2000, Neuchâtel, Switzerland

    U. Cattaneo

Authors
  1. U. Cattaneo
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported by the Swiss National Science Foundation

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cattaneo, U. On Mackey's imprimitivity theorem. Commentarii Mathematici Helvetici 54, 629–641 (1979). https://doi.org/10.1007/BF02566297

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02566297

Keywords

Search

Navigation