Skip to main content
SpringerLink
Log in

Similarity of operator algebras

  • Published:
Acta Mathematica

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. Dunford, N. &Schwartz, J.,Linear Operators, Part I. Interscience Publishers, New York, 1958.

    Google Scholar 

  2. Gardner, L., On isomorphisms ofC *-algebras.Amer. J. Math., 87 (1965), 384–396.

    Article  MathSciNet  Google Scholar 

  3. Haagerup, U., Tomita's theory for von Neumann algebras with a cyclic and separating vector, June 1973. Private circulation.

  4. Kadison, R., Derivations of operator algebras.Ann. of Math., 83 (1966), 280–293.

    Article  MathSciNet  Google Scholar 

  5. —, Remarks on the type of von Neumann algebras of local observables in quantum field theory.J. Math. Phys., 4 (1963), 1511–1516.

    Article  MathSciNet  Google Scholar 

  6. Kadison, R. &Ringrose, J., Algebraic automorphisms of operator algebras,J. London Math. Soc., 8 (1974), 329–334.

    MathSciNet  Google Scholar 

  7. —, Derivations and automorphisms of operator algebras.Comm. Math. Phys., 4 (1967), 32–63.

    Article  MathSciNet  Google Scholar 

  8. Okayasu, T., A structure theorem of automorphisms of von Neumann algebras.Tôhoku Math. J., 20 (1968), 189–206.

    MathSciNet  Google Scholar 

  9. Okayasu, T., Polar decomposition theorem for isomorphisms of operator algebras. Notes & Abstracts, Japan-U.S. Seminar onC *-algebras and applications to physics, 1974.

  10. Ringrose, J., Automatic continuity of derivation of operator algebras.J. London Math. Soc., 5 (1972), 171–175.

    MathSciNet  Google Scholar 

  11. Sakai, S. C *-algebras and W*-algebras. Springer, Berlin, 1971.

    Google Scholar 

  12. — On a conjecture of Kaplansky.Tôhoku Math. J., 1 (1960), 31–33.

    Google Scholar 

  13. — Derivations ofW *-algebras.Ann. of Math., 83 (1966), 273–279.

    Article  MathSciNet  Google Scholar 

  14. Takesaki, M.,Tomita's theory of modular Hilbert algebras and its applications. Springer lecture notes in Mathematics no. 128 (1970).

  15. Tomita, M. Standard forms of von Neumann algebras.Fifth Functional Analysis Symposium of the Math. Soc. of Japan, 1967.

  16. Van Daele, A., The Tomita-Takesaki theory for von Neumann algebras with a separating and cyclic vector.Proc. Int. School of Phys. Enrico Fermi. Ital. Phys. Soc. Pub., Bologna, 1976.

    Google Scholar 

  17. Zsido, L., A proof of Tomita's fundamental theorem in the theory of standard von Neuman algebras.Revue Comm. Pures et Appl., 20 (1975), 609–619.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Pennsylvania, Philadelphia, Pa., U.S.A.

    Richard V. Kadison

Authors
  1. Richard V. Kadison
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to M.H. Stone on his seventy fifth birthday

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kadison, R.V. Similarity of operator algebras. Acta Math. 141, 147–163 (1978). https://doi.org/10.1007/BF02545746

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02545746

Keywords

Search

Navigation