K-theory and K-homology of C*-algebras for row-finite graphs

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Abstract

We compute the K-groups and K-homology groups of C*-algebras of row-finite graphs using the universal covering trees of graphs and Pimsner's six-term exact sequences for KK-groups of crossed products by groups acting on trees.

Original languageEnglish
Pages (from-to)1723-1742
Number of pages20
JournalRocky Mountain Journal of Mathematics
Volume37
Issue number5
DOIs
StatePublished - 2007

Keywords

  • Fundamental transversal
  • Graph
  • K-gpoups
  • K-homology
  • Universal covering tree

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