Skip to main content
Log in

Compact operators in typeIII λ and typeIII 0 factors

  • 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

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

Instant access to the full article PDF.

References

  1. Breuer, M.: Fredholm theories on von Neumann algebras. I. Math. Ann.178, 243–254 (1968)

    Google Scholar 

  2. Breuer, M., Butcher, R.S.: Fredholm theories of mixed type with analytic index functions. Math. Ann.209, 31–42 (1974)

    Google Scholar 

  3. Bures, D.: Abelian subalgebras of von Neumann algebras. AMS Memoirs 110 (1971)

  4. Connes, A.: Une classification des facteurs de typeIII. Ann. Ec. Norm. Sup.6, 133–252 (1973)

    Google Scholar 

  5. Dixmier, J.: LesC *-algebres et leurs representations. 2nd ed. Paris: Gauthier-Villars 1969

    Google Scholar 

  6. Haagerup, U.:L p-spaces associated with an arbitrary von Neumann algebra. (Preprint)

  7. Hewitt, E., Ross, K.: Abstract harmonic analysis, Vol. I. Berlin, Heidelberg, New York: Springer 1963

    Google Scholar 

  8. Kaftal, V.: On the theory of compact operators in von Neumann algebras. I. Indiana Univ. Math. J.26, 447–457 (1977)

    Google Scholar 

  9. Kaftal, V.: Relative weak convergence in semifinite von Neumann algebras. Proc. Am. Math. Soc.84, 89–94 (1982)

    Google Scholar 

  10. Kaftal, V., Mercer, R.: Spectral projections ofL 1 operators in typeIII λ von Neumann algebras. Int. Eq. Oper. Theory J. (to appear)

  11. Olsen, C.L.: Index theory in von Neumann algebras. AMS Memoirs 294, Vol. 47. (1984)

    Google Scholar 

  12. Mercer, R.: Convergence of Fourier series in discrete cross products of von Neumann algebras. Proc. Am. Math. Soc.94, 254–258 (1985)

    Google Scholar 

  13. Pedersen, G.:C *-algebras and their automorphism groups. London: Academic Press 1979

    Google Scholar 

  14. Peligrad, C., Zsido, L.: A Riesz decomposition theorem inW *-algebras. Acta. Sci. Math. (Szeged)34, 317–322 (1973)

    Google Scholar 

  15. Sonis, M.G.: On a class of operators in von Neumann algebras with Segal measures. Math. USSR Sb.13, 344–359 (1971)

    Google Scholar 

  16. Stratila, S.: Modular theory in operator algebras. Turnbridge Wells: Abacus Press 1981

    Google Scholar 

  17. Stratila, S., Zsido, L.: Lectures on von Neumann algebras. Turnbridge Wells: Abacus Press 1979

    Google Scholar 

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

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Halpern, H., Kaftal, V. Compact operators in typeIII λ and typeIII 0 factors. Math. Ann. 273, 251–270 (1986). https://doi.org/10.1007/BF01451405

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01451405

Keywords

Navigation