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Transgressing the algebraic coarse character map

Published 14 Jul 2025 in math.KT and math.MG | (2507.10816v1)

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.

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