A decomposition theorem for real rank zero inductive limits of 1-dimensional non-commutative CW complexes

DOI10.1142/S1793525319500080zbMath1428.46044arXiv1709.03684MaRDI QIDQ5377569

Zhi-Chao Liu

Publication date: 24 May 2019

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

Full work available at URL: https://arxiv.org/abs/1709.03684

zbMATH Keywords

decompositioninductive limitreal rank zeroElliott-Thomsen algebra

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Ext and (K)-homology (19K33) (K_0) as an ordered group, traces (19K14)

Related Items (2)

On the range of certain ASH algebras of real rank zero ⋮ Injectivity of the Connecting Homomorphisms in Inductive Limits of Elliott–Thomsen Algebras

Cites Work

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• The classification of simple separable unital \(\mathcal{Z}\)-stable locally ASH algebras
• On the classification of \(C^*\)-algebras of real rank zero. II
• Reduction of real rank in inductive limits of \(C^*\)-algebras
• Reduction of topological stable rank in inductive limits of \(C^*\)- algebras
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• The state space of the \(K_ 0\)-group of a simple separable \(C^*\)- algebra
• A classification result for approximately homogeneous \(C^*\)-algebras of real rank zero
• On the classification of simple inductive limit \(C^*\)-algebras. I: The reduction theorem
• On the classification of C*-algebras of real rank zero.
• On the classification of 𝐶*-algebras of real rank zero: inductive limits of matrix algebras over non-Hausdorff graphs
• The Marriage Problem

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