Aperiodicity and primitive ideals of row-finite k-graphs

DOI10.1142/S0129167X14500220zbMath1297.46039arXiv1105.1208MaRDI QIDQ5415793

David Pask, Sooran Kang

Publication date: 16 May 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.1208

zbMATH Keywords

primitive ideal space\(C^\ast\)-algebraaperiodicity\(k\)-graph

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Decomposition theory for (C^*)-algebras (46L45)

Related Items (18)

Prime and primitive Kumjian–Pask algebras ⋮ PERIODIC -GRAPH ALGEBRAS REVISITED ⋮ Separable representations, KMS states, and wavelets for higher-rank graphs ⋮ Monic representations of finite higher-rank graphs ⋮ Irreducibility and monicity for representations of \(k\)-graph \(C^*\)-algebras ⋮ Skew-products of higher-rank graphs and crossed products by semigroups ⋮ Ideals of Steinberg algebras of strongly effective groupoids, with applications to Leavitt path algebras ⋮ Spectral triples for higher-rank graph $C^*$-algebras ⋮ Jacobson topology of the primitive ideal space of self-similar \(k\)-graph \(C^*\)-algebras ⋮ Spectral triples and wavelets for higher-rank graphs ⋮ Cohomology for small categories: \(k\)-graphs and groupoids ⋮ Representations of higher-rank graph \(C^\ast\)-algebras associated to {\(\Lambda\)}-semibranching function systems ⋮ Ideal structure and pure infiniteness of ample groupoid -algebras ⋮ Primitive ideal space of higher-rank graph \(C^\ast\)-algebras and decomposability ⋮ Purely infinite labeled graph -algebras ⋮ Isomorphism of the cubical and categorical cohomology groups of a higher-rank graph ⋮ The ideal structures of self-similar -graph C*-algebras ⋮ On twisted higher-rank graph 𝐶*-algebras

Cites Work

• Graphs, groupoids, and Cuntz-Krieger algebras
• On \(C^*\)-algebras associated with \(C^*\)-correspondences
• 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
• Atomic representations of rank 2 graph algebras
• Inverse semigroups and combinatorial \(C^*\)-algebras
• Cuntz-Krieger algebras of directed graphs
• A class of C*-algebras and topological Markov chains
• A class of C*-algebras and topological Markov chains II: Reducible chains and the Ext-functor for C*-algebras
• Structure spaces of approximately finite-dimensional C*-algebras. II
• The primitive ideal space of the \(C^*\)-algebra of infinite graphs
• The \(C^*\)-algebras of finitely aligned higher-rank graphs
• Coverings of \(k\)-graphs
• Type III von Neumann algebras associated with 2-graphs
• On the Primitive Ideal spaces of the $C^*$-algebras of graphs
• Gauge-Invariant Ideals in theC*-Algebras of Finitely Aligned Higher-Rank Graphs
• Periodicity in Rank 2 Graph Algebras
• The ideal structure of Cuntz–Krieger algebras
• A class of \boldmath{$C^*$}-algebras generalizing both graph algebras and homeomorphism \boldmath{$C^*$}-algebras I, fundamental results
• Viewing AF-algebras as graph algebras
• Simplicity of C*-algebras associated to higher-rank graphs
• CUNTZ–PIMSNER C*-ALGEBRAS ASSOCIATED WITH SUBSHIFTS
• The Analytic Algebras Of Higher Rank Graphs
• TOPOLOGICAL QUIVERS

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