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Abstract In this article, we study chain conditions for graph C*-algebras. We show that there are infinitely many mutually non isomorphic Noetherian (and Artinian) purely infinite graph C*-algebras with infinitely… Click to show full abstract
Abstract In this article, we study chain conditions for graph C*-algebras. We show that there are infinitely many mutually non isomorphic Noetherian (and Artinian) purely infinite graph C*-algebras with infinitely many ideals. We prove that if E is a graph, then C * ( E ) {C^{*}(E)} is a Noetherian (resp. Artinian) C*-algebra if and only if E satisfies condition (K) and each ascending (resp. descending) sequence of admissible pairs of E stabilizes.
Keywords:
conditions graph;
chain conditions;
graph algebras
Journal Title: Forum Mathematicum
Year Published: 2019
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Journal Title: Forum Mathematicum
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!