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

• Qingnan An ^[1] ; George A. Elliott ^[1] ; Zhichao Liu ^[1] ; Yuanhang Zhang ^[2]
  1. [1] University of Toronto

     University of Toronto

     Canadá

     
  2. [2] Changchun University of Science and Technology

     Changchun University of Science and Technology

     China

     
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 126, Nº 3, 2020, págs. 617-638
• Idioma: inglés
• DOI: 10.7146/math.scand.a-121092
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper, we show that the homomorphisms between two unital one-dimensional NCCW complexes with the same KK-class are stably homotopic, that is, after adding on a common homomorphism (with finite dimensional image), they are homotopic. As a consequence, any one-dimensional NCCW complex has the Property (H).