Every countable infinite discrete group admits an ergodic action on any unital Kirchberg algebra, and every aperiodic automorphism of such an algebra has a unitary perturbation that is ergodic.
Dadarlat, Fiberwise KK-equivalence of continuous fields of C*-algebras, Journal of K- theory, 3(2) (2009), 205–219
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Ergodic automorphisms on Kirchberg algebras
Every countable infinite discrete group admits an ergodic action on any unital Kirchberg algebra, and every aperiodic automorphism of such an algebra has a unitary perturbation that is ergodic.