Classification of equivariantly O2-stable amenable actions on nuclear C∗-algebras

Given a second-countable, locally compact group G, we consider amenable G-actions on separable, stable, nuclear C-& lowast;-algebras that are isometrically shift-absorbing and tensorially absorb the trivial action on the Cuntz algebra O2. We show that such actions are classified up to cocycle conjugacy by the induced C-action on the primitive ideal space. In the special case when C is exact, we prove a unital version of our classification theorem. For compact groups, we obtain a classification up to conjugacy. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar