Abstract
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 α *0 J = id K 0(A). The author proves that A ⋊ α ℤ has tracial rank zero.
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