4 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 simple, nuclear C-algebra of stable rank one and real rank zero with weakly unperforated invariant. Elliott's conjecture. The algebra $A$ should be tracially AF. In th…

Let $A$ be a simple, stably finite, nuclear C-algebra. Elliott's conjecture. The algebra $A$ should be quasidiagonal. This is stated as a consequence predicted by Elliott's classif…