1997/10/28 by Nathanial P. Brown, Brown, Nathanial P.
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #funct-an #math.OA
paper · pdf · doi:10.48550/arxiv.funct-an/9710004
AMS-LaTeX (uses XY-Pic), 20 pages, e-mail [email protected]
arxiv created 1997/10/28 · openalex publication_date 1997/10/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 K0 of the crossed product.