Transgressing the algebraic coarse character map

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.

Contribution to the final volume of the SPP 2026 "Geometry at Infinity" funded by the DFG. v2: minor corrections due to referee report