The radical of 𝐿^{∞}(𝐺)*

Granirer, Edmond E.

doi:10.1090/S0002-9939-1973-0326302-9

The radical of $L^{\infty }(G)^{\ast }$
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by Edmond E. Granirer PDF

Proc. Amer. Math. Soc. 41 (1973), 321-324 Request permission

Abstract:

Theorem. Let $G$ be any locally compact nondiscrete group (or any infinite discrete amenable group). Then the radical of the (complex, noncommutative) Banach algebra ${L^\infty }{(G)^\ast }$ is not norm separable.

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