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Almost inductive limit automorphisms and embeddings into AF-algebras

Published online by Cambridge University Press:  19 September 2008

Dan Voiculescu
Dan Voiculescu
Affiliation:
The National Institute for Scientific and Technical Creation, Department of Mathematics, Bd. Pǎcii 220, 79622 Bucharest, Romania
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Abstract

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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 6 , Issue 3 , September 1986 , pp. 475 - 484
Copyright
Copyright © Cambridge University Press 1986

References

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