Purely infinite labeled graph -algebras

DOI10.1017/etds.2017.123zbMath1437.46055arXiv1703.01583OpenAlexW2963187993MaRDI QIDQ4968753

Eun Ji Kang, Gi Hyun Park, Ja A. Jeong

Publication date: 9 July 2019

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.01583

zbMATH Keywords

graph algebrageneralized Cuntz-Krieger algebraproperty (IH)

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items (3)

The simplicity of the \(C^\ast\)-algebras associated to arbitrary labeled spaces ⋮ Simple labeled graph \(C^{\ast}\)-algebras are associated to disagreeable labeled spaces ⋮ AF‐embeddable labeled graph C∗‐algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Purely infinite simple \(C^\ast\)-algebras that are principal groupoid \(C^\ast\)-algebras
• The tight groupoid of an inverse semigroup
• Finite simple labeled graph \(C^\ast\)-algebras of Cantor minimal subshifts
• \(C^\ast\)-algebras associated to Boolean dynamical systems
• On simple labelled graph \(C^{*}\)-algebras
• The structure of gauge-invariant ideals of labelled graph \(C^{\ast}\)-algebras
• Graphs, groupoids, and Cuntz-Krieger algebras
• Inverse semigroups and combinatorial \(C^*\)-algebras
• Cuntz-Krieger algebras of directed graphs
• Symbolic dynamics. One-sided, two-sided and countable state Markov shifts
• The ideal structure of the \(C^*\)-algebras of infinite graphs
• The \(C^*\)-algebras of row-finite graphs
• Graph \(C^*\)-algebras with real rank zero
• AF labeled graph \(C^\ast\)-algebras
• The \(C^*\)-algebras of arbitrary graphs
• Purely infinite C^*-algebras arising from crossed products
• $C^*$-algebras of labelled graphs II - simplicity results
• -algebras of labelled graphs III—-theory computations
• Real rank and topological dimension of higher rank graph algebras
• Purely infinite $C^*$-algebras arising from dynamical systems
• PURELY INFINITE CUNTZ–KRIEGER ALGEBRAS OF DIRECTED GRAPHS
• Non-simple purely infinite C*-algebras
• A Characterization of the Morse Minimal Set
• Aperiodicity and primitive ideals of row-finite k-graphs
• Sur les nombres qui ont des propriétés additives et multiplicatives données
• Construction and pure infiniteness of $C^*$-algebras associated with lambda-graph systems
• Purely infinite -algebras associated to étale groupoids

This page was built for publication: Purely infinite labeled graph -algebras