Szlenk and $w^{\ast }$-dentability indices of C${}^{\ast }$-algebras

Lixin Cheng, Zhizheng Yu

Let $\mathcal{A}$ be a infinite dimensional C*-algebra and $1<p<\infty$. We compute the Szlenk index of $\mathcal{A}$ and $L_p(\mathcal{A})$, and show that $Sz(\mathcal A)=Γ'(i(\mathc…