2 problems

Let $A$ be a $\mathcal{Z}$-stable $C^*$-algebra, meaning that $A\cong A\otimes\mathcal{Z}$. Let $\operatorname{Cu}(A)$ be its Cuntz semigroup, and recall that a positively ordered…

Let $A$ be a simple unital nuclear separable $C^*$-algebra. The properties of finite nuclear dimension, $\mathcal{Z}$-stability, and strict comparison of positive elements are the…