Graph C*-algebras are singly generated
Jakub Curda, Julian Gonzales, Victor Wu

TL;DR
This paper proves that the C*-algebra associated with any countable directed graph can be generated by a single element, simplifying the understanding of its structure and implications for related algebras.
Contribution
It establishes that all countable graph C*-algebras are singly generated, extending the class of known singly generated C*-algebras and simplifying their analysis.
Findings
Countable graph C*-algebras are singly generated.
Any C*-algebra with projections and partial isometries satisfying Cuntz-Krieger relations is singly generated.
Simplifies the structural understanding of these algebras.
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.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Banach Space Theory · Holomorphic and Operator Theory
