AF-Embedding of crossed products of certain graph C*-algebras by quasi-free actions (II)

@article{Fang2005AFEmbeddingOC,
  title={AF-Embedding of crossed products of certain graph C*-algebras by quasi-free actions (II)},
  author={Xiaochun Fang},
  journal={Acta Mathematica Sinica, English Series},
  year={2005},
  volume={27},
  pages={1581-1590}
}
  • Xiaochun Fang
  • Published 2005
  • Mathematics
  • Acta Mathematica Sinica, English Series
  • Let E be a row-finite directed graph, let G be a locally compact abelian group with dual group Ĝ = Γ, let ω be a labeling map from E* to Γ, and let (C*(E), G, αω) be the C*-dynamical system defined by ω. Some mappings concerning the AF-embedding construction of $C*(E) \times _{\alpha ^\omega } G$ are studied in more detail. Several necessary conditions of AF-embedding and some properties of almost proper labeling map are obtained. Moreover it is proved that if E is constructed by attaching some… CONTINUE READING