The Tracial Rokhlin Property for Automorphisms on Non-simple C~*-Algebras

摘要

Let A be a unital AF-algebra(simple or non-simple) and let α be an automorphism of A.Suppose that α has certain Rokhlin property and A is α-simple.Suppose also that there is an integer J≥1 such that αJ0=idK0(A).The author proves that A α Z has tracial rank zero.