English

Injectivity results for coarse homology theories

K-Theory and Homology 2021-05-28 v2 Algebraic Topology Metric Geometry

Abstract

We show injectivity results for assembly maps using equivariant coarse homology theories with transfers. Our method is based on the descent principle and applies to a large class of linear groups or, more general, groups with finite decomposition complexity.

Keywords

Cite

@article{arxiv.1809.11079,
  title  = {Injectivity results for coarse homology theories},
  author = {Ulrich Bunke and Alexander Engel and Daniel Kasprowski and Christoph Winges},
  journal= {arXiv preprint arXiv:1809.11079},
  year   = {2021}
}

Comments

81 pages; several minor changes and corrections following a referee report; to appear in Proc. LMS