All Title Author
Keywords Abstract

Mathematics  1997 

On the AF embeddability of crossed products of AF algebras by the integers

Full-Text   Cite this paper   Add to My Lib

Abstract:

It is shown that if A is an AF algebra then a crossed product of A by the integers can be embedded into an AF algebra if and only if the crossed product is stably finite. This equivalence follows from a simple K-theoretic characterization of AF embeddability. It is then shown that if a crossed product of an AF algebra by the integers is AF embeddable then the AF embedding can be chosen in such a way as to induce a rationally injective map on K_0 of the crossed product.

Full-Text

comments powered by Disqus