Skip to main content
SpringerLink
Log in

Direct integrals of left Hilbert algebras

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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. Dixmier, J.: Les algèbres d'opérateurs dans l'espace Hilbertien, 2nd ed. Paris: Gauthier-Villars 1969

    MATH  Google Scholar 

  2. Dunford, N., Schwartz, J.T.: Linear operators, Part 2. New York: Wiley, 1963

    Google Scholar 

  3. Effros, E.G.: The Borel space of von Neumann algebras on a separable Hilbert space. Pacific J. Math.15, 1153–1164 (1965)

    MathSciNet  Google Scholar 

  4. Kallman, R.R.: Groups of inner automorphisms of von Neumann algebras. J. Functional Analysis7, 43–60 (1971)

    Article  MathSciNet  Google Scholar 

  5. Lance, E.C.: Refinement of direct integral decompositions (to appear in Bull. London Math. Soc.)

  6. Mautner, F.I.: Unitary representations of locally compact groups. II. Ann. of Math.52, 528–556 (1950)

    Article  MathSciNet  Google Scholar 

  7. Nielsen, O.A.: Borel sets of von Neumann algebras. Amer. J. Math.95, 145–164 (1973)

    Article  MathSciNet  Google Scholar 

  8. Pallu de la Barrière, R.: Décomposition des opérateurs non bornés dans les sommes continues d'espaces de Hilbert. C.R. Acad. Sci.232, 2071–2073 (1951)

    Google Scholar 

  9. Schwartz, J.T.: Type II factors in a central decomposition. Comm. Pure Appl. Math.16, 247–252 (1963)

    MathSciNet  Google Scholar 

  10. Segal, I.E.: An extension of Plancherel's formula to separable unimodular groups. Ann. of Math.52, 272–292 (1950)

    Article  MathSciNet  Google Scholar 

  11. Sutherland, C.E.: Direct integral theory for weights, and the Plancherel formula (to appear in J. Functional Analysis)

  12. Sutherland, C.E.: Crossed products, direct integrals and Connes classification of type III factors (to appear)

  13. Takesaki, M.: Remarks on the reduction theory of von Neumann algebras. Proc. Amer. Math. Soc.20, 434–438 (1969)

    Article  MathSciNet  Google Scholar 

  14. Takesaki, M.: Tomita's theory of modular Hilbert algebras and its applications (Lecture Notes in Mathematics, Vol. 128). Berlin-Heidelberg-New York: Springer 1970

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Manchester, M13 9PL, Manchester, U.K.

    Christopher Lance

Authors
  1. Christopher Lance
    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

Lance, C. Direct integrals of left Hilbert algebras. Math. Ann. 216, 11–28 (1975). https://doi.org/10.1007/BF02547968

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02547968

Keywords

Search

Navigation