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

Authors

  • Qingnan An
  • George A. Elliott
  • Zhichao Liu
  • Yuanhang Zhang

DOI:

https://doi.org/10.7146/math.scand.a-121092

Abstract

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).

Downloads

Published

2020-09-03

Issue

Vol. 126 No. 3 (2020)

Section

Articles

How to Cite

[1]
Q. An, G. A. Elliott, Z. Liu, and Y. Zhang, “Stable homotopy, $1$-dimensional NCCW complexes, and Property (H)”, Math. Scand., vol. 126, no. 3, pp. 617–638, Sep. 2020, doi: 10.7146/math.scand.a-121092.