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arXiv · 1906.08414

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

Qingnan An·George A. Elliott·Zhichao Liu·Yuanhang Zhang
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Abstract

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

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Qingnan An, George A. Elliott, Zhichao Liu, Yuanhang Zhang. 2019-06-20. Stable homotopy, 1-dimensional NCCW complexes, and Property (H). https://arxiv.org/abs/1906.08414

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