Skip to main content
SpringerLink
Log in

Direct integrals on selfdual cones and standard forms of von Neumann algebras

  • Published:
Inventiones mathematicae Aims and scope

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. Araki, H.: Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule. Paz. Jour. of Math.50, 309–354 (1974)

    Google Scholar 

  2. Behncke, H.: A central decomposition of automorphisms. Math. Ann.189, 308–310 (1970)

    Article  Google Scholar 

  3. Bös, W.: A classification for selfdual cones in Hilbert space. Preprint Osnabrück 1976

  4. Bös, W.: A remark on a paper of A. Connes. Preprint Osnabrück 1976

  5. Christensen, J. P. R.: Topology and Borel structure. Amsterdam-London: North Holland 1974

    Google Scholar 

  6. Connes, A.: Caractérisation des espaces vectoriels ordonnés sous-jacentes aux algèbres de von Neumann. Ann. Inst. Fourier24, 121–155 (1974)

    Google Scholar 

  7. Dixmier, J.: Les algèbres d'opérateurs dans I'espace Hilbertien. Paris: Gauthier-Villars 1969

    Google Scholar 

  8. Effros, E.: Convergence of closed subsets in a topological space. Proc. Amer. Math. Soc.16, 929–931 (1965)

    Google Scholar 

  9. Effros, E.: The Borel space of von Neumann algebras on a separable Hilbert space. Paz. Jour. of Math.15, 1153–1164 (1965)

    Google Scholar 

  10. Elliot, G. A.: An extension of some results of Takesaki in the reduction theory of von Neumann algebras. Paz. Jour. of Math.39, 145–148 (1971)

    Google Scholar 

  11. Haagerup, U.: The standard form of von Neumann algebras. University of Copenhagen, preprint series, 15 (1973)

  12. Halmos, P. R.: Measure theory. New York: van Nostrand 1950

    Google Scholar 

  13. Jurzak, J.-P: Decomposable operators application to K.M.S. weights in a decomposable von Neumann algebra. Preprint

  14. Kuratowski, K.: Topology I. New York-London: Academic Press 1966

    Google Scholar 

  15. Lance, C.: Direct integrals of left Hilbert algebras. Math. Ann.216, 11–28 (1975)

    Google Scholar 

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

    Google Scholar 

  17. Nest, R.: Measurability of “subgroup of inner action” map in disintegration of dynamical systems. University of Copenhagen, preprint series, 25 (1974)

  18. Penney, R. C.: Self-dual cones in Hilbert space. Jour. Funct. Anal.21, 305–315 (1976)

    Article  Google Scholar 

  19. Sainte-Beuve, M. F.: On the extension of von Neumann-Aumann's theorem. Jour. Funct. Anal.17, 112–129 (1974)

    Article  Google Scholar 

  20. Sakai, S.:C *-algebras andW *-algebras. Berlin-Heidelberg-New York: Springer (1971)

    Google Scholar 

  21. Sutherland, C. E.: Direct integral theory for weights and the Plancherel formula. Bull. of the Amer. Math. Soc.80, 456–461 (1974)

    Google Scholar 

  22. Takesaki, M.: Conditional expectations in von Neumann algebras. Jour. Funct. Anal.9, 306–321 (1972)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Universität Osnabrück, Fachbereich 5, D-4500, Osnabrück, Germany

    Wolfgang Bös

Authors
  1. Wolfgang Bös
    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

Bös, W. Direct integrals on selfdual cones and standard forms of von Neumann algebras. Invent Math 37, 241–251 (1976). https://doi.org/10.1007/BF01390322

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01390322

Keywords

Search

Navigation