AF Embeddability of Crossed Products of AF Algebras by the Integers

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Abstract

IfAis an AF algebra andα∈Aut(A), it is shown that AF embeddability of the crossed product,A×αZ, is equivalent toA×αZ being stably finite. This equivalence follows from a simple K-theoretic characterization of AF embeddability. It is then shown that ifA×αZ is AF embeddable, then the AF embedding can be chosen in such a way as to induce a rationally injective map onK0(A×αZ).

Original languageEnglish (US)
Pages (from-to)150-175
Number of pages26
JournalJournal of Functional Analysis
Volume160
Issue number1
DOIs
StatePublished - Dec 1 1998

All Science Journal Classification (ASJC) codes

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