Title

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

Publication Name

Proceedings of the Edinburgh Mathematical Society

Abstract

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.

Open Access Status

This publication may be available as open access

Funding Number

DP180100595

Funding Sponsor

Australian Research Council

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Link to publisher version (DOI)

http://dx.doi.org/10.1017/S0013091521000626