Finite group actions on C*-algebras with the Rohlin property, I

Source abstract

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 02 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 02 . A large class of symmetries on 02 are classified in terms of the fixed-point algebras for conjugacy and the crossed products for cocycle conjugacy. Model actions of symmetries of 02 are constructed for given K-theoretical invariants.