Transgressing the algebraic coarse character map

Fuente: arXiv
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Main Authors: Engel, Alexander, Ludewig, Matthias
Format: Preprint
Published: 2025
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author Engel, Alexander
Ludewig, Matthias
author_facet Engel, Alexander
Ludewig, Matthias
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_10816
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Transgressing the algebraic coarse character map
Engel, Alexander
Ludewig, Matthias
K-Theory and Homology
Metric Geometry
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.
title Transgressing the algebraic coarse character map
topic K-Theory and Homology
Metric Geometry
url https://arxiv.org/abs/2507.10816