On operator amenability of Fourier-Stieltjes algebras
classification
🧮 math.OA
math.FA
keywords
operatoramenabilitycompactadmitsalgebraalgebrasamenablilitycase
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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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