NOTES ON THE SEPARABILITY OF $C$*-ALGEBRAS
NOTES ON THE SEPARABILITY OF $C$*-ALGEBRAS
It is well-known that any abelian C*-algebra can be identified, by Gelfand transform, as $C_0(\Omega)$. Here, the spectrum $\Omega$ is locally compact Hausdorff in general, and compact exactly when the algebra is unital. In this survey article, we collect some results about the relation between the metrizability of $\Omega$ and …