Path groupoids of nonfinitely aligned higher-rank graphs

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• Malcolm Jones (Institute for Mathematics, Physics and Mechanics of Ljubljana)
• Thursday 03 July 2025, 15:30-15:50
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TGAW01 - Crossed products and groupoid C*-algebras

Higher-rank graphs form a powerful framework for studying (C-)algebras. As part of an ongoing effort to find groupoid models for C-algebras of nonfinitely aligned higher-rank graphs, we define the finitely aligned ‘part’ of any higher-rank graph, characterising which cylinder sets in the classical path space of a higher-rank graph are compact. We use this to construct path and boundary-path groupoids that are ample and Hausdorff, and we give a sufficient condition for their amenability.

This talk is part of the Isaac Newton Institute Seminar Series series.

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