Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

Centralizers of the Fourier Algebra of an Amenable Group

P. F. Renaud
Proceedings of the American Mathematical Society
Vol. 32, No. 2 (Apr., 1972), pp. 539-542
DOI: 10.2307/2037854
Stable URL: http://www.jstor.org/stable/2037854
Page Count: 4
  • Read Online (Free)
  • Download ($30.00)
  • Subscribe ($19.50)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Centralizers of the Fourier Algebra of an Amenable Group
Preview not available

Abstract

Let $G$ be a locally compact group with Fourier algebra $A(G)$. We prove that if $G$ is amenable then every centralizer of $A(G)$ is determined by multiplication with an element of the Fourier-Stieltjes algebra of $G$. This result is then used to show that isometric centralizers correspond to characters of $G$.

Page Thumbnails

  • Thumbnail: Page 
539
    539
  • Thumbnail: Page 
540
    540
  • Thumbnail: Page 
541
    541
  • Thumbnail: Page 
542
    542