Injectivity results for coarse homology theories
Ulrich Bunke, Alexander Engel, Daniel Kasprowski, Christoph Winges
TL;DR
This paper proves injectivity of assembly maps in coarse homology theories for broad classes of groups, using descent principles and equivariant methods.
Contribution
It introduces new injectivity results for assembly maps in coarse homology theories applicable to groups with finite decomposition complexity.
Findings
Injectivity results for assembly maps in coarse homology theories.
Applicability to groups with finite decomposition complexity.
Use of descent principle and equivariant coarse homology theories.
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.
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