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 language | English |
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Pages (from-to) | 711-756 |
Number of pages | 46 |
Journal | Rocky Mountain Journal of Mathematics |
Volume | 47 |
Issue number | 3 |
DOIs | |
State | Published - 1 Jan 2017 |
Externally published | Yes |
Keywords
- Conduché fibrations
- Cuntz-Krieger algebra
- Groupoids
ASJC Scopus subject areas
- General Mathematics