Stable homotopy, 1-dimensional NCCW complexes, and Property (H)
Operator Algebras
2019-09-18 v2
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).
Cite
@article{arxiv.1906.08414,
title = {Stable homotopy, 1-dimensional NCCW complexes, and Property (H)},
author = {Qingnan An and George A. Elliott and Zhichao Liu and Yuanhang Zhang},
journal= {arXiv preprint arXiv:1906.08414},
year = {2019}
}
Comments
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