Equivariant ${\mathcal{O}}_2$-absorption theorem for exact groups

We show that, up to strong cocycle conjugacy, every countable exact group admits a unique equivariantly ${\mathcal{O}}_2$-absorbing, pointwise outer action on the Cuntz algebra ${\mathcal{O}}_2$ with the quasi-central approximation property (QAP). In particular, we establish the equivariant analogue of the Kirchberg ${\mathcal{O}}_2$-absorption theorem for these groups.