5 problems

Let $A$ be a separable exact quasidiagonal $C^*$-algebra. AF-embedding conjecture. $A$ is isomorphic to a subalgebra of an AF algebra. The preceding theorem gives strong evidence f…

Let $A$ be a stable simple AF algebra not isomorphic to $\mathbb{K}$. Write $TW(A)$ for the tracial state space associated with $A$, $U_\to(A)$ for the relevant infinite-dimensiona…

Let $\Gamma$ be a countable distributive lattice, realized as the lattice of finite ideals of a partially ordered set, and let $A(\Gamma)$ be the $AF$-algebra associated with the H…

Let $\mathcal Z$ be the Jiang--Su algebra and let … For a graph $G$, let $B(G)$ denote the associated CCR algebra. Non-realizability claim. The algebra $A_{\aleph_0\aleph_1}$ is no…

Let $E_{CM}\cong E(K)$ be an elliptic curve with complex multiplication. Let $E_{tors}(K)$ be the finite-order subgroup of $E(K)$. If $K'\supset K$ is a non-trivial extension obtai…