Stably finite extensions of rank-two graph C*-algebras
Operator Algebras
2021-12-01 v1
Abstract
We study stable finiteness of extensions of 2-graph C*-algebras determined by saturated hereditary sets of vertices. We use two iterations of the Pimsner-Voiculescu sequence to calculate the map in K-theory induced by the inclusion of a hereditary subgraph into the larger 2-graph it lives in. We then apply a theorem of Spielberg about stable finiteness of extensions to provide a sufficient condition for the C*-algebra of the larger 2-graph to be stably finite. We illustrate our results with examples.
Cite
@article{arxiv.2111.15165,
title = {Stably finite extensions of rank-two graph C*-algebras},
author = {Astrid an Huef and Abraham C. S. Ng and Aidan Sims},
journal= {arXiv preprint arXiv:2111.15165},
year = {2021}
}
Comments
35 pages. Figures prepared using TikZcd