Skip to main content
SpringerLink
Log in

Quasi-free states and automorphisms of the CCR-algebra

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

We show that any automorphism of the CCR algebra, leaving the quasi-free states globally invariant, is monoparticular.

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. Guichardet, A.: Symmetric Hilbert spaces and related topics. Lecture Notes in Mathematics 261. Berlin-Heidelberg-New York: Springer 1972

    Google Scholar 

  2. Hugenholtz, N.M., Kadison, R.V.: Automorphisms and quasi-free states of the CAR algebra. Commun. math. Phys.43, 181–197 (1975)

    Google Scholar 

  3. Manuceau, J.:C*-algèbre de relations de commutation. Ann. Inst. H. PoincaréVIII, 139–161 (1968)

    Google Scholar 

  4. Manuceau, J., Sirugue, M., Testard, D., Verbeure, A.: The smallestC*-algebra for canonical commutation relations. Commun. math. Phys.32, 231–243 (1973)

    Google Scholar 

  5. Manuceau, J., Verbeure, A.: Quasi-free states of the CCR algebra and Bogoliubov transformations. Commun. math. Phys.9, 293–302 (1968)

    Google Scholar 

  6. Wolfe, J.: Free states and automorphisms of the Clifford algebra. Commun. math. Phys.45, 53–58 (1975)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Instituut voor Theoretische Natuurkunde, Rijksuniversiteit Groningen, Groningen, The Netherlands

    M. Fannes

Authors
  1. M. Fannes
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by H. Araki

Aspirant van het Belgisch N.F.W.O. On leave from University of Leuven K.U.L. (Belgium). Partially supported by F.O.M.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fannes, M. Quasi-free states and automorphisms of the CCR-algebra. Commun.Math. Phys. 51, 55–66 (1976). https://doi.org/10.1007/BF01609051

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01609051

Keywords

Search

Navigation