On operator amenability of Fourier-Stieltjes algebras

Nico Spronk

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arXiv · 1806.08421

On operator amenability of Fourier-Stieltjes algebras

Nico Spronk

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Abstract

We consider the Fourier-Stietljes algebra B(G) of a locally compact group G. We show that operator amenablility of B(G) implies that a certain semitolpological compactification of G admits only finitely many idempotents. In the case that G is connected, we show that operator amenability of B(G) entails that $G$ is compact.

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Nico Spronk. 2018-06-21. On operator amenability of Fourier-Stieltjes algebras. https://arxiv.org/abs/1806.08421

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