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arXiv · 1410.6740

Discrete Conduche Fibrations and C*-algebras

Jonathan H. Brown·David N. Yetter
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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.

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Jonathan H. Brown, David N. Yetter. 2014-10-24. Discrete Conduche Fibrations and C*-algebras. https://arxiv.org/abs/1410.6740

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