CROSSED PRODUCT C-ALGEBRAS BY FINITE GROUP ACTIONS WITH THE TRACIAL ROKHLIN PROPERTY

Let A be a stably finite simple imitai C*-algebra, and suppose á is an action of a finite group G with the tracial Rokhlin property. Suppose further A has real rank zero and the order on projections over A is determined by traces. Then the crossed product C*-algebra determined by traces. Moreover, if A also has stable rank one, then C* (G, A, α) also has stable rank one.