Primitive ideal space of higher-rank graph \(C^\ast\)-algebras and decomposability

DOI10.1016/j.jmaa.2018.08.049zbMath1416.46059arXiv1712.03234OpenAlexW2889250061MaRDI QIDQ1798982

Hossein Larki

Publication date: 18 October 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03234

zbMATH Keywords

decomposabilityprimitive ideal\(k\)-graphhigher-rank graph \(C^\ast\)-algebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05)

Cites Work

• Unnamed Item
• Simplicity of \(C^*\)-algebras associated to row-finite locally convex higher-rank graphs
• Rank-two graphs whose \(C^*\)-algebras are direct limits of circle algebras
• The \(C^*\)-algebras of row-finite graphs
• Purely infinite simple Kumjian-Pask algebras
• The primitive ideal space of the \(C^*\)-algebra of infinite graphs
• The \(C^*\)-algebras of finitely aligned higher-rank graphs
• Higher rank graph \(C^*\)-algebras
• The primitive ideals of the Cuntz-Krieger algebra of a row-finite higher-rank graph with no sources
• Simplicity of finitely-aligned k-graph C*-algebras
• The path space of a higher-rank graph
• A family of 2-graphs arising from two-dimensional subshifts
• Periodicity in Rank 2 Graph Algebras
• Affine buildings, tiling systems and higher rank Cuntz-Krieger algebras
• HIGHER-RANK GRAPHS AND THEIR $C^*$-ALGEBRAS
• Prime and primitive Kumjian–Pask algebras
• Aperiodicity and primitive ideals of row-finite k-graphs

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