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

摘要

We classify finite group actions on some classes of C*-algebras with the Roblin property in terms of the K-groups. A group cohomological obstruction is obtained for the K-groups of a C*-algebra allowing such an action, for example, the Tate cohomology groups with the K-groups as the coefficient modules must vanish. Model actions with the Rohlin property are constructed for given K-theoretical invariants. Quasi-free actions of finite cyclic groups on the Cuntz algebras and their dual actions are investigated from the view point of the Rohlin property. (C) 2003 Elsevier Science (USA). All rights reserved.