  The action on the trace space induced by a generic automorphism of a suitable
finite classifiable C*-algebra is shown to be chaotic and weakly mixing. Model
C*-algebras are constructed to observe the central limit theorem and other
statistical features of strongly chaotic tracial actions. Genericity of finite
Rokhlin dimension is used to describe KK-contractible stably projectionless
C*-algebras as crossed products.
