2 problems

Let $M$ be a $\rm II_1$ factor with the stable single generation (SSG) property, meaning that some sequence $t_n\searrow0$ has each amplification $M^{t_n}$ singly generated. Let…

Let $M$ be a $\rm II_1$ factor such that any amplification of $M$ can be generated by two selfadjoint elements. A pair of hyperfinite factors $R_0,R_1\subset M$ is to be constructe…