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Shows that C-algebras of countable directed graphs are singly generated, implying new insights into their structure.
We show that the C ∗ C^* upper C Superscript asterisk -algebra of a countable directed graph is singly generated. As a consequence, any C ∗ C^* upper C Superscript asterisk -algebra generated by a countable family of projections and partial isometries satisfying Cuntz–Krieger relations is singly generated.
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Curda et al. (2026) studied this question.
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