Discrete conduche fibrations and C∗-algebras

Jonathan H. Brown, David N. Yetter

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The k-graphs in the sense of Kumjian and Pask [7] are discrete Conduche fibrations over the monoid Nk, satisfying a finiteness condition. We examine the generalization of this construction to discrete Conduche fibrations with the same finiteness condition and a lifting property for completions of cospans to commutative squares, over any category satisfying a strong version of the right Ore condition, including all categories with pullbacks and right Ore categories in which all morphisms are monic.

Original languageEnglish
Pages (from-to)711-756
Number of pages46
JournalRocky Mountain Journal of Mathematics
Volume47
Issue number3
DOIs
StatePublished - 1 Jan 2017
Externally publishedYes

Keywords

  • Conduché fibrations
  • Cuntz-Krieger algebra
  • Groupoids

ASJC Scopus subject areas

  • General Mathematics

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