Monatshefte für Mathematik

, Volume 80, Issue 4, pp 319–324 | Cite as

Representing positive definiteB-invariant functions of[FC] B − groups

  • Justin Peters
Article
Received:
Revised:
  • 18 Downloads

Abstract

The [FC]− groups are characterized as those groups having “sufficiently many” continuous positive definite central functions with compact support.

Keywords

Compact Support Central Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Dixmier, J.: Les Algèbres d'opérateurs dans l'espace Hilbertien (Algèbres de von Neumann). Paris: Gauthier-Villars. 1969.Google Scholar
  2. [2]
    Dixmier, J.: Les C*-algebres et leur Représentations. Paris: Gauthier-Villars. 1964.Google Scholar
  3. [3]
    Grosser, S., andM. Moskowitz: Compactness conditions in topological groups. J. Reine Angew. Math.246, 1–40 (1971).Google Scholar
  4. [4]
    Kotzmann, E., andH. Rindler: Central approximate units in a certain ideal ofL 1 (G). Preprint, Univ. of Vienna. 1974.Google Scholar
  5. [5]
    Leptin, H.: Zur harmonischen Analyse klassenkompakter Gruppen. Inventiones Math.5, 249–254 (1968).CrossRefGoogle Scholar
  6. [6]
    Liukkonen, J., andR. Mosak: Harmonic analysis and centers of group algebras. Trans. Amer. Math. Soc.195, 147–163 (1974).Google Scholar
  7. [7]
    Mosak, R.: TheL 1- andC *-algebras of [FIA]B−-groups, and their representations. Trans. Amer. Math. Soc.163, 277–310 (1971).Google Scholar
  8. [8]
    Reiter, H.: Classical harmonic analysis and locally compact groups. Oxford: At the Clarendon Press. 1968.Google Scholar

Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • Justin Peters
    • 1
  1. 1.Mathematisches Institut der Technischen Universität MünchenMünchenFederal Republic of Germany

Personalised recommendations