DISCRETE CONDUCHE FIBRATIONS AND C*-ALGEBRAS

摘要

The k-graphs in the sense of Kumjian and Pask [7] are discrete Conduche fibrations over the monoid N-k, 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.