Coverings of k-graphs

David Pask, John Quigg, Iain Raeburn

Research output: Contribution to journalArticle

23 Scopus citations

Abstract

k-graphs are higher-rank analogues of directed graphs which were first developed to provide combinatorial models for operator algebras of Cuntz-Krieger type. Here we develop the theory of covering spaces for k-graphs, obtaining a satisfactory version of the usual topological classification in terms of subgroups of a fundamental group. We then use this classification to describe the C*-algebras of covering k-graphs as crossed products by coactions of homogeneous spaces, generalizing recent results on the C*-algebras of graphs.

Original languageEnglish (US)
Pages (from-to)161-191
Number of pages31
JournalJournal of Algebra
Volume289
Issue number1
DOIs
StatePublished - Jul 1 2005

Keywords

  • C*-algebra
  • Coaction
  • Covering
  • Fundamental group
  • Small category
  • k-Graph

ASJC Scopus subject areas

  • Algebra and Number Theory

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