Amenable representations and coefficient subspaces of Fourier-Stieltjes algebras

Authors

  • Ross Stokke

DOI:

https://doi.org/10.7146/math.scand.a-14990

Abstract

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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Published

2006-06-01

How to Cite

Stokke, R. (2006). Amenable representations and coefficient subspaces of Fourier-Stieltjes algebras. MATHEMATICA SCANDINAVICA, 98(2), 182–200. https://doi.org/10.7146/math.scand.a-14990

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Articles