Skip to main content
SpringerLink
Log in

Ideals in group algebras of finitely generated FC-nilpotent discrete groups

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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. Alfsen, E.M.: Compact convex sets and boundary integrals. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  2. Baumslag, G.: Lecture notes on nilpotent groups. Amer. Math. Soc. Regional Conference Ser. No. 2 (1971)

  3. Boidol, J., Leptin, H., Schürmann, J., Vahle, D.: Räume primitiver Ideale von Gruppenalgebren. Math. Ann.236, 1–13 (1978)

    Google Scholar 

  4. Dixmier, J.: LesC*-algèbres et leurs représentations. Paris: Gauthier-Villars 1964

    Google Scholar 

  5. Hauenschild, W., Kaniuth, E.: The generalized Wiener theorem for groups with finite dimensional irreducible representations. J. Functional Analysis31, 13–23 (1979)

    Google Scholar 

  6. Hey, H.J., Ludwig, J.: Der Satz von Helson-Reiter für spezielle nilpotente Lie-Gruppen. Math. Ann.239, 207–218 (1979)

    Google Scholar 

  7. Howe, R.: On representations of discrete, finitely generated, torsion-free, nilpotent groups. Pacific J. Math.73, 281–305 (1977)

    Google Scholar 

  8. Hulanicki, A.: On the spectral radius of hermitian elements in group algebras. Pacific J. Math.18, 277–287 (1966)

    Google Scholar 

  9. Kaniuth, E.: On maximal ideals in group algebras of SIN-groups. Math. Ann.214, 167–175 (1975)

    Google Scholar 

  10. Kaniuth, E., Lasser, R.: Zum verallgemeinerten Wienerschen Satz für diskrete nilpotente Gruppen der Klasse 3. Math. Z.163, 39–55 (1978)

    Google Scholar 

  11. Kaniuth, E., Steiner, D.: On complete regularity of group algebras. Math. Ann.204, 305–329 (1973)

    Google Scholar 

  12. Liukkonen, J., Mosak, R.: Harmonic analysis and centers of group algebras. Trans. Amer. Math. Soc.195, 147–163 (1974)

    Google Scholar 

  13. Liu, T., van Rooij, A., Wang, J.: Projections and approximate identities for ideals in group algebras. Trans. Amer. Math. Soc.175, 469–482 (1973)

    Google Scholar 

  14. Poguntke, D.: Der Raum der primitiven Ideale von endlichen Erweiterungen lokalkompakter Gruppen. Arch. Math.28, 133–138 (1977)

    Google Scholar 

  15. Reiter, H.:L 1-algebras and Segal-algebras. Lecture notes in mathematics, Vol. 231. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  16. Rieffel, M.A.: Unitary representations of group extensions; an algebraic approach to the theory of Mackey and Blattner. Advances in Math., Suppl. Series4, 43–82 (1979)

    Google Scholar 

  17. Robinson, D.: Finiteness conditions and generalized soluble groups. I. Berlin, Heidelberg, New York: Springer 1972

    Google Scholar 

  18. Thoma, E.: Über unitäre Darstellungen abzählbarer diskreter Gruppen. Math. Ann.153, 111–138 (1964)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fachbereich Mathematik/Informatik der Gesamthochschule Paderborn, Warburger Strasse 100, D-4790, Paderborn, Federal Republic of Germany

    Eberhard Kaniuth

Authors
  1. Eberhard Kaniuth
    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

Kaniuth, E. Ideals in group algebras of finitely generated FC-nilpotent discrete groups. Math. Ann. 248, 97–108 (1980). https://doi.org/10.1007/BF01421950

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01421950

Keywords

Search

Navigation