Descent and the $KH$-assembly map
Paul D. Mitchener
TL;DR
This paper explores how a general descent concept in coarse geometry can be used to analyze the injectivity of the $KH$-assembly map, demonstrating injectivity for finite coarse $CW$-complexes.
Contribution
It introduces a new application of descent in coarse geometry to the study of the $KH$-assembly map's injectivity, extending known results.
Findings
The $KH$-assembly map is injective for finite coarse $CW$-complexes.
A general notion of descent can be applied to the study of the $KH$-assembly map.
The paper establishes a link between coarse geometry and algebraic $K$-theory.
Abstract
In this article we show that a general notion of descent in coarse geometry can be applied to the study of injectivity of the -assembly map. We also show that the coarse assembly map is injective in general for finite coarse -complexes.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Neuroimaging Techniques and Applications · Topological and Geometric Data Analysis