Basic properties of finite group actions with the Rohlin property on unital C*-algebras are investigated. A characterization of finite group actions with the Rohlin property on the Cuntz algebra is given in terms of central sequences, which may be considered as an equivariant version of E. Kirchberg and N. C. Phillips's characterization of . A large class of symmetries on are classified in terms of the fixed-point algebras for conjugacy and the crossed products for cocycle conjugacy. Model actions of symmetries of are constructed for given K-theoretical invariants.
"Finite group actions on C*-algebras with the Rohlin property, I." Duke Math. J. 122 (2) 233 - 280, 1 April 2004. https://doi.org/10.1215/S0012-7094-04-12221-3