$C^{\ast }$-algebras isomorphically representable on $l^p$

March T. Boedihardjo

Let $p\in (1,\infty )\backslash \{2\}$. We show that every homomorphism from a $C^{\ast }$-algebra $\mathcal{A}$ into $B(l^p(J))$ satisfies a compactness property where $J$ is any set.…