Discrete Conduche Fibrations and C*-algebras
Operator Algebras
2014-10-27 v1
Abstract
The higher rank graphs of Kumjian and Pask are discrete Conduche fibrations over the monoid of k-tuples of natural numbers for some k in which every morphism in the base has a finite preimage under the the fibration. 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.
Keywords
Cite
@article{arxiv.1410.6740,
title = {Discrete Conduche Fibrations and C*-algebras},
author = {Jonathan H. Brown and David N. Yetter},
journal= {arXiv preprint arXiv:1410.6740},
year = {2014}
}
Comments
29 pages, submitted to the Rocky Mountain Journal of Mathematics