Centralizers of Fourier algebra of an amenable group
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- by P. F. Renaud PDF
- Proc. Amer. Math. Soc. 32 (1972), 539-542 Request permission
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.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 539-542
- MSC: Primary 43A10
- DOI: https://doi.org/10.1090/S0002-9939-1972-0293019-8
- MathSciNet review: 0293019