TY - JOUR
T1 - AF Embeddability of Crossed Products of AF Algebras by the Integers
AU - Brown, Nathanial P.
PY - 1998/12/1
Y1 - 1998/12/1
N2 - 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).
AB - 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).
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U2 - 10.1006/jfan.1998.3339
DO - 10.1006/jfan.1998.3339
M3 - Article
AN - SCOPUS:0000733331
SN - 0022-1236
VL - 160
SP - 150
EP - 175
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 1
ER -