Graph C*-algebras are singly generated
Operator Algebras
2026-01-06 v1
Abstract
We show that the -algebra of a countable directed graph is singly generated. As a consequence, any -algebra generated by a countable family of projections and partial isometries satisfying Cuntz-Krieger relations is singly generated.
Keywords
Cite
@article{arxiv.2601.01249,
title = {Graph C*-algebras are singly generated},
author = {Jakub Curda and Julian Gonzales and Victor Wu},
journal= {arXiv preprint arXiv:2601.01249},
year = {2026}
}
Comments
14 pages