The tracial Rokhlin property for automorphisms on non-simple C*-algebras

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.

Keywords

Rokhlin property / Tracial rank zero / AF-algebra

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