Ergodic Theory and Dynamical Systems

Research Article

Almost inductive limit automorphisms and embeddings into AF-algebras

Dan Voiculescua1

a1 The National Institute for Scientific and Technical Creation, Department of Mathematics, Bd. Pcii 220, 79622 Bucharest, Romania

Abstract

The crossed product of an AF-algebra by an automorphism, a power of which is approximately inner, is shown to be embeddable into an AF-algebra. The proof uses almost inductive limit automorphisms, i.e. automorphisms possessing a sequence of almost invariant finite-dimensional C*-subalgebras converging to the given AF-algebra.

(Received April 16 1985)