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math.CO2012★ 3 cited
Topological realizations and fundamental groups of higher-rank graphs
S. Kaliszewski, Alex Kumjian, John Quigg +1
We investigate topological realizations of higher-rank graphs. We show that the fundamental group of a higher-rank graph coincides with the fundamental group of its topological rea…
math.CO2004★ 17 cited
Fundamental groupoids of k-graphs
David Pask, John Quigg, Iain Raeburn
k-graphs are higher-rank analogues of directed graphs which were first developed to provide combinatorial models for operator algebras of Cuntz-Krieger type. Here we develop a theo…