3 problems

Let $A$ be a nuclear C-algebra and let $\tau$ be a tracial state on $A$. Suppose there are a simple nuclear C-algebra $B$, a tracial state $\gamma$ on $B$, and a -homomorphism…

Let $A$ be a nuclear C-algebra and let $\tau$ be a tracial state on $A$. Elliott's conjecture. Under the hypothesis that every stably finite nuclear C-algebra is quasidiagonal, eve…

Let $A$ be a finite, simple, separable, unital, nuclear, $Z$-stable $C^*$-algebra. The strongest Toms–Winter conjecture. Such an algebra should have finite decomposition rank. Th…