2 problems

Let $\Phi:{\mathfrak A}\to{\mathfrak A}$ be a unital completely positive map acting on the unital $C^*$-algebra ${\mathfrak A}$, and let $\sigma(\Phi)$ denote its spectrum. Periphe…

Non-recurrent-point range conjecture. If $\boxed{\textstyle\text{?}}$ is non-recurrent, then