Stable homotopy, $1$-dimensional NCCW complexes, and Property (H)

DOI10.7146/math.scand.a-121092zbMath1451.19015arXiv1906.08414OpenAlexW3083657174MaRDI QIDQ5135286

Qingnan An, Yuan Hang Zhang, Zhi-Chao Liu, George A. Elliott

Publication date: 19 November 2020

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.08414

zbMATH Keywords

noncommutative finite CW complexstably homotopy

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Kasparov theory ((KK)-theory) (19K35) Fiber bundles in algebraic topology (55R10)

Cites Work

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• 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
• Injectivity of the Connecting Homomorphisms in Inductive Limits of Elliott–Thomsen Algebras
• The Homotopy Lifting Theorem for Semiprojective $C^*$-Algebras
• Fragility of Subhomogeneous C *-Algebras with One-Dimensional Spectrum
• Reduction to dimension three of local spectra of real rank zero C*-algebras.
• From Trace States to States on the K₀ Group of a Simple C^* -Algebra

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