Positive definite bounded matrices and a characterization of amenable groups

Positive definite bounded matrices and a characterization of amenable groups
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by Marek Bożejko PDF

Proc. Amer. Math. Soc. 95 (1985), 357-360 Request permission

We show that a discrete group $G$ is amenable iff the Herz-Schur multiplier algebra ${B_2}(G)$ coincides with the Fourier-Stieltjes algebra $B(G)$.

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