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Almost inductive limit automorphisms and embeddings into AF-algebras

  • Dan Voiculescu (a1)
Abstract
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.

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[6] E. G. Effros & J. Rosenberg . C*-algebras with approximately inner flip. Pacific J. Math. 77 (1978), 417443.

[9] D. Handelman . Ultrasimplicial dimension groups. Archiv der Mathematik 40 (1983), 109115.

[10] R. H. Herman & V. F. R. Jones . Period two automorphisms of UHF C*-algebras. J. Fund. Anal. 45 (1982) 169176.

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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
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