Skip to main content
SpringerLink
Log in

Simplicity of the projective unitary groups defined by simple factors

  • Published:
Commentarii Mathematici Helvetici

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. Artin, E.,Geometric algebra, Interscience 1957.

  2. Blattner, R. J.,Automorphic group representations, Pacific J. Math.8 (1958) 665–677.

    Article  MathSciNet  MATH  Google Scholar 

  3. Broise, M.,Commutateurs dans le groupe unitaire d'un facteur, J. Math. Pures et appl.46 (1967) 299–312.

    MathSciNet  MATH  Google Scholar 

  4. Cartan, E.,Sur les représentations linéaires des groupes clos, Comment. Math. Helv.2 (1930) 269–283.

    Article  MathSciNet  MATH  Google Scholar 

  5. Connes, A.,Outer conjugacy classes of automorphisms of factors, Ann. Sc. Ec. Norm. Sup.,8 (1975) 383–420.

    MathSciNet  MATH  Google Scholar 

  6. Dieudonné, J.,Sur les groupes classiques, Hermann 1948.

  7. Dixmier, J.,Les algèbres dl'opérateurs dans l'espace hilbertien (algèbres de von Neumann), 2è éd., Gauthier-Villars 1969.

  8. Dixmier, J.,Les C*-algèbres et leurs représentations, 2è éd., Gauthier-Villars 1969.

  9. Deckard, Don andPearcy, C.,On matrices over the ring of continuous complex valued functions on a Stonian space, Proc. Amer. Math. Soc.14 (1963) 322–328.

    Article  MathSciNet  MATH  Google Scholar 

  10. Fillmore, P. A.,On products of symmetries, Canadian J. Math.18 (1966) 897–900.

    Article  MathSciNet  MATH  Google Scholar 

  11. de la Harpe, P.,Sous-groupes distingués du groupe unitaire et du groupe général linéaire d'un espace de Hilbert, Comment. Math. Helv.51 (1976) 241–257.

    Article  MathSciNet  MATH  Google Scholar 

  12. Kadison, R. V. Infinite unitary groups, Trans. Amer. Math. Soc.72 (1952) 386–399.

    Article  MathSciNet  MATH  Google Scholar 

  13. Kaplansky, I.,Rings of operators, Benjamin 1968.

  14. Lanski, C.,The group of units of a simple ring II, J. of Algebra16 (1970) 108–128.

    Article  MathSciNet  MATH  Google Scholar 

  15. Riesz, F. andNagy, B. Sz.,Leçons d'analyse fonctionnelle, 5è éd., Gauthier-Villars 1968.

Download references

Author information

Authors and Affiliations

  1. Section de mathématiques, 2-4 rue du Lièvre, 1211, Genève 24, Suisse

    P. de la Harpe

Authors
  1. P. de la Harpe
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

de la Harpe, P. Simplicity of the projective unitary groups defined by simple factors. Commentarii Mathematici Helvetici 54, 334–345 (1979). https://doi.org/10.1007/BF02566277

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02566277

Keywords

Search

Navigation