Separable $C^{\ast }$-Algebras and weak${}^{\ast }$-fixed point property

Gero Fendler, Michael Leinert

It is shown that the dual $\hat{A}$ of a separable $C^{\ast }$-algebra $A$ is discrete if and only if its Banach space dual has the weak${}^{\ast }$-fixed point property. We prove furt…