Transgressing the algebraic coarse character map
K-Theory and Homology
2025-07-16 v1 Metric Geometry
Abstract
We pursue an old conjecture of John Roe about the algebraic K-theory of the algebra of finite propagation, locally trace-class operators, namely that transgressing the algebraic coarse character map on this algebra to a Higson dominated corona coincides with the usual Chern character on the corona.
Keywords
Cite
@article{arxiv.2507.10816,
title = {Transgressing the algebraic coarse character map},
author = {Alexander Engel and Matthias Ludewig},
journal= {arXiv preprint arXiv:2507.10816},
year = {2025}
}
Comments
Contribution to the final volume of the SPP 2026 "Geometry at Infinity" funded by the DFG