3 problems

Let $1<t\leq\infty$, let $M=L(\Bbb F_t)$, and let $B\subset M$ be a maximal amenable von Neumann subalgebra. Multiple mixing conjecture. The subalgebra $B$ is multiple mixing in…

Let $1<t\leq\infty$, let $B$ be a maximal amenable von Neumann subalgebra of the interpolated free group factor $L(\Bbb F_t)$, and let $\mathcal U(L(\Bbb F_t))$ denote its unitary…

Let $1<t\leq\infty$, and let $B$ be a maximal amenable, equivalently maximal AFD, von Neumann subalgebra of the interpolated free group factor $L(\Bbb F_t)$. Coarseness conjecture.…