Which multiplier algebras are $W^{\ast }$-algebras?

Charles A. Akemann, Massoud Amini, Mohammad B. Asadi

We consider the question of when the multiplier algebra $M(\mathcal{A})$ of a $C^{\ast }$-algebra $\mathcal{A}$ is a $W^{\ast }$-algebra, and show that it holds for a stable $C^{\ast }$-algebra exa…