Skip to main content
SpringerLink
Log in

Irreducible * representations of realC*-algebras

  • Published:
Acta Mathematica Sinica Aims and scope Submit manuscript

Abstract

In this paper, we show that a topologically irreducible * representation of a realC*-algebra is also algebraically irreducible. Moreover, the properties of pure real states on a realC*-algebra and their left kernels are discussed.

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

Similar content being viewed by others

References

  1. Li Bingren, Introduction to Operator Algebras, World Sci., Singapore, 1992.

    Google Scholar 

  2. Li Bingren,Real operator algebras, Scientia Sinica,22(1979), 733–746.

    Google Scholar 

  3. Halperin, H.,Finite sums of irreducible functionals on C*-algebras, Proc. Amer. Math. Soc,18(1967), 352–359.

    Google Scholar 

  4. Takesaki, M.,On the conjugate space of an operator algebra, Tohoku Math. J.,10(1958), 194–203.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Academia Sinica, 100080, Beijing, China

    Li Bingren

Authors
  1. Li Bingren
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Partially supported by the National Natural Science Foundation of China.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, B. Irreducible * representations of realC*-algebras. Acta Mathematica Sinica 11, 381–388 (1995). https://doi.org/10.1007/BF02248748

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02248748

Keyword

Search

Navigation