2 problems

Let $G$ be a finitely generated group, and let $C^*_r(G)$ denote its reduced $C^*$-algebra. Existence conjecture. There exists a finitely generated group $G$ such that $C^*_r(G)$ i…

Let $\mathcal{S}_n$ be the operator system considered above, and let $d_{\infty}(\mathcal{S}_n)$ denote its associated exactness distance. Growth conjecture. The quantity…