STABLY FINITE EXTENSIONS OF C*-ALGEBRAS OF RANK-TWO GRAPHS
Publication Name
Journal of Operator Theory
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.
Open Access Status
This publication is not available as open access
Volume
90
Issue
1
First Page
263
Last Page
310
Funding Number
18-VUW-056
Funding Sponsor
Australian Research Council