2 problems

Let $G$ be a nontrivial compact group acting freely on a unital $C^*$-algebra $A$. Define the join … Equip $A\circledast C(G)$ with the diagonal action of $G$. Type 1 noncommutativ…

Let $G$ be a second-countable compact group, let $A$ be a separable unital $C^*$-algebra, and let $\alpha\colon G\to\operatorname{Aut}(A)$ be an action of $G$ on $A$ with finite Ro…