Graph C*-algebras are singly generated
Abstract
We show that the $C^*$-algebra of a countable directed graph is singly generated. As a consequence, any $C^*$-algebra generated by a countable family of projections and partial isometries satisfying Cuntz-Krieger relations is singly generated.
Fields of Study & Subjects
Advanced Operator Algebra Research
Advanced Banach Space Theory
Holomorphic and Operator Theory
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 3 January 2026
- Document type
- Preprint