Skip to main content
SpringerLink
Log in

Free states and automorphisms of the Clifford algebra

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

Abstract

We study automorphisms of the Clifford algebra which map the set of quasi-free states onto itself. We show that they are quasi-free if the one-particle space is infinite dimensional, and give counter examples in finite dimensions.

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. Hugenholts, N., Kadison, R.: Commun. math. Phys.43, 181–187 (1975)

    Google Scholar 

  2. Hugenholtz, N.: Private Communication

  3. Balslev, E., Manuceau, J., Verbeure, A.: Commun. math. Phys.8, 315–326 (1968)

    Google Scholar 

  4. Shale, D., Stinespring, W. F.: Ann. Math.80, 365–381 (1964)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Universiteit Leuven, Leuven, Belgium

    J. C. Wolfe (Derde Cyclus Fellow)

  2. K.U.L., Belgium

    J. C. Wolfe (Derde Cyclus Fellow)

Authors
  1. J. C. Wolfe
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by H. Araki

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wolfe, J.C. Free states and automorphisms of the Clifford algebra. Commun.Math. Phys. 45, 53–58 (1975). https://doi.org/10.1007/BF01609865

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01609865

Keywords

Search

Navigation