Amenable representations and coefficient subspaces of Fourier-Stieltjes algebras
- Autores: Ross Stokke
- Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 98, Nº 2, 2006, págs. 182-200
- Idioma: inglés
- DOI: 10.7146/math.scand.a-14990
- Enlaces
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Resumen
Amenable unitary representations of a locally compact group, $G$, are studied in terms of associated coefficient subspaces of the Fourier-Stieltjes algebra $B(G)$, and in terms of the existence of invariant and multiplicative states on associated von Neumann and $C^*$-algebras. We introduce Fourier algebras and reduced Fourier-Stieltjes algebras associated to arbitrary representations, and study amenable representations in relation to these algebras.
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