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

Journal Article


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.

Publication Date


  • 2021

Citation


  • Pask, D., Sierakowski, A., & Sims, A. (2021). Structure theory and stable rank for C*-algebras of finite higher-rank graphs. Proceedings of the Edinburgh Mathematical Society, 64(4), 822-847. doi:10.1017/S0013091521000626

Scopus Eid


  • 2-s2.0-85117508023

Start Page


  • 822

End Page


  • 847

Volume


  • 64

Issue


  • 4

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.

Publication Date


  • 2021

Citation


  • Pask, D., Sierakowski, A., & Sims, A. (2021). Structure theory and stable rank for C*-algebras of finite higher-rank graphs. Proceedings of the Edinburgh Mathematical Society, 64(4), 822-847. doi:10.1017/S0013091521000626

Scopus Eid


  • 2-s2.0-85117508023

Start Page


  • 822

End Page


  • 847

Volume


  • 64

Issue


  • 4