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

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

1997-10-28

arxiv.org/abs/funct-an/9710004v1

Mathematics

Operator Algebras

AMS-LaTeX (uses XY-Pic), 20 pages, e-mail nbrown@math.purdue.edu

Scientific paper

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.

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