Skip to main content
SpringerLink
Log in

On the homotopy type of the regular group of aW *-algebra

  • 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. Araki, H., Smith, M.S.B., Smith, L.: On the homotopical significance of the type of a von Neumann algebra factor. Commun. Math. Phys.22, 71–88 (1971)

    Google Scholar 

  2. Atiyah, M.F.:K-theory. New York: Benjamin 1967

    Google Scholar 

  3. Atiyah, M.F.: Algebraic topology and elliptic operators. Commun. Pure Appl. Math.20, 237–249 (1967)

    Google Scholar 

  4. Breuer, M.: A generalization of Kuiper's theorem to factors of typeII. J. Math. Mech.16, 917–925 (1967)

    Google Scholar 

  5. Breuer, M.: On the homotopy type of the group of regular elements of semifinite von Neumann algebras. Math. Ann.185, 61–74 (1970)

    Google Scholar 

  6. Breuer, M.: Theory of Fredholm operators and vector bundles relative to von Neumann algebras. Rocky Mountain J. Math.3, 383–429 (1973)

    Google Scholar 

  7. Breuer, M.: A homotopy theoretic proof of the additivity of the trace. Rocky Mountain J. Math.10, 185–198 (1980)

    Google Scholar 

  8. Brüning, J., Willgerodt, W.: Eine Verallgemeinerung eines Satzes von Kuiper. Math. Ann.220, 47–58 (1976)

    Google Scholar 

  9. Choda, H.: An extremal property of the polar decomposition in von Neumann algebras. Proc. Japan Acad.46, 341–344 (1970)

    Google Scholar 

  10. Encyclopedic dictionary of mathematics. Cambridge, MA: MIT Press 1977

  11. Handelman, D.:K 0 of von Neumann andAF C*-algebras. Quart. J. Math. Oxford29, 427–441 (1978)

    Google Scholar 

  12. Karoubi, M.:K-theory. Berlin, Heidelberg, New York: Springer 1978

    Google Scholar 

  13. Michael, E.: Continuous selection I. Ann. Math.63, 361–382 (1956)

    Google Scholar 

  14. Michael, E.: Convex structures and continuous selections. Can. J. Math.11, 556–575 (1959)

    Google Scholar 

  15. Rieffel, M.A.: Dimension and stable rank in theK-theory ofC *-algebras. Proc. London Math. Soc. (3)46, 301–333 (1983)

    Google Scholar 

  16. Spanier, E.: Algebraic topology. New York: McGraw Hill 1966

    Google Scholar 

  17. Takesaki, M.: Theory of operator algebras. I. Berlin, Heidelberg, New York: Springer 1979

    Google Scholar 

Download references

Author information

Author notes

  1. H. Schröder

    Present address: Naturwissenschaftliche Fakultät der Universität, Memminger Strasse 6, D-8900, Augsburg, Federal Republic of Germany

Authors and Affiliations

  1. Fachbereich Mathematik der Universität, Lahnberge, D-3550, Marburg, Federal Republic of Germany

    H. Schröder

Authors
  1. H. Schröder
    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

Schröder, H. On the homotopy type of the regular group of aW *-algebra. Math. Ann. 267, 271–277 (1984). https://doi.org/10.1007/BF01579203

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01579203

Keywords

Search

Navigation