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

Qingnan An, George A. Elliott, Zhichao Liu, Yuanzhang Zhang

• 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).