University of Wollongong
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Structure theory and stable rank for C*-algebras of finite higher-rank graphs

journal contribution
posted on 2024-11-17, 14:25 authored by David Pask, Adam Sierakowski, Aidan Sims
We study the structure and compute the stable rank of-algebras of finite higher-rank graphs. We completely determine the stable rank of the-algebra when the-graph either contains no cycle with an entrance or is cofinal. We also determine exactly which finite, locally convex-graphs yield unital stably finite-algebras. We give several examples to illustrate our results.

Funding

Australian Research Council (DP180100595)

History

Journal title

Proceedings of the Edinburgh Mathematical Society

Language

English

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