2 problems

Let $G$ be an icc property (T) group. For a $\mathrm{II}_1$ factor $\mathcal M$, let $\mathcal F_s(\mathcal M)$ be the set of all $t\in\mathbb R_+$ for which there exists a $*$-emb…

Let $\mathcal M$ be the relevant $\mathrm{II}_1$ factor, and let $\mathcal F(\mathcal M)$ denote its Murray–von Neumann fundamental group, consisting of all $t\in\mathbb R_+$ such…