Coarse assembly maps
K-Theory and Homology
2020-08-26 v3 Algebraic Topology
Differential Geometry
Abstract
For every strong coarse homology theory we construct a coarse assembly map as a natural transformation between coarse homology theories. We provide various conditions implying that this assembly map is an equivalence. These results generalize known results for the analytic coarse assembly map for K-homology to general coarse homology theories. Furthermore, we calculate the domain of the coarse assembly map explicitly in terms of locally finite homology theory.
Keywords
Cite
@article{arxiv.1706.02164,
title = {Coarse assembly maps},
author = {Ulrich Bunke and Alexander Engel},
journal= {arXiv preprint arXiv:1706.02164},
year = {2020}
}
Comments
58 pages (final revision)