Abstract

We show that two separable simple stably projectionless amenable $\mathcal{𝒵}$-stable $C^{\ast }$-algebras which satisfy the UCT (the universal coefficient theorem) are isomorphic if and only if they have the same Elliott invariant. We also present a unified isomorphism theorem for the class of finite separable simple amenable $\mathcal{𝒵}$-stable $C^{\ast }$-algebras which satisfy the UCT.

Keywords

Mathematical Subject Classification

Milestones

Authors