Topological realizations and fundamental groups of higher-rank graphs

DOI10.1017/S0013091515000061zbMath1330.05050arXiv1205.2858OpenAlexW2963474752MaRDI QIDQ5743624

Aidan Sims, S. Kaliszewski, John C. Quigg, Alexander Kumjian

Publication date: 5 February 2016

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2858

zbMATH Keywords

coveringfundamental groupprojective limitfunctorCW-complex\(k\)-graph

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Coverings of curves, fundamental group (14H30) Categorical structures (18D99)

Related Items (6)

The suspension of a graph, and associated \(C^{\ast}\)-algebras ⋮ Deformations of Fell bundles and twisted graph algebras ⋮ Homology for higher-rank graphs and twisted \(C^*\)-algebras ⋮ Computing the fundamental group of a higher-rank graph ⋮ Topological spaces associated to higher-rank graphs ⋮ Isomorphism of the cubical and categorical cohomology groups of a higher-rank graph

Cites Work

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• Homology for higher-rank graphs and twisted \(C^*\)-algebras
• Graphs, groupoids, and Cuntz-Krieger algebras
• Coverings of \(k\)-graphs
• Product systems over right-angled Artin semigroups
• Generalised morphisms of 𝑘-graphs: 𝑘-morphs
• COVERINGS OF SKEW-PRODUCTS AND CROSSED PRODUCTS BY COACTIONS
• Coverings of Directed Graphs and Crossed Products of C*-Algebras by Coactions of Homogeneous Spaces
• Remarks on some fundamental results about higher-rank graphs and their C*-algebras

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