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arxiv: 2507.10816 · v2 · pith:Y756EYRTnew · submitted 2025-07-14 · 🧮 math.KT · math.MG

Transgressing the algebraic coarse character map

classification 🧮 math.KT math.MG
keywords algebraiccharacteralgebracoarsecoronatransgressingcherncoincides
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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.

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