The intrinsic invariant of an approximately finite dimensional factor and the cocycle conjugacy of discrete amenable group actions.
In this paper, we consider the classification of unital extensions of -algebras by their six-term exact sequences in -theory. Using the classification theory of -algebras and the universal coefficient theorem for unital extensions, we give a complete characterization of isomorphisms between unital extensions of -algebras by stable Cuntz algebras. Moreover, we also prove a classification theorem for certain unital extensions of -algebras by stable purely infinite simple -algebras with nontrivial...