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Coarse Baum-Connes and warped cones: failure of surjectivity in odd degree

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arxiv 2504.21811 v2 pith:CLPEUN27 submitted 2025-04-30 math.KT math.MGmath.OA

Christos Kitsios , Thomas Schick , Federico Vigolo This is my paper · ORCID
classification math.KTmath.MGmath.OA
keywords baum-connescoarseconesconjecturedegreewarpedarisesconstructing
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We prove a conjecture of Roe by constructing unified warped cones that violate the coarse Baum-Connes conjecture. Interestingly, the reason for this is probably not what Roe expected, as the obstruction arises in odd rather than even degree.

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  1. Coarse cone quotients

    math.AT 2025-07 conditional novelty 6.0 of 10

    For uniformly free, ergodic actions with spectral gap, the motivic coarse assembly map for the cone quotient O∞(X)//G fails to be an equivalence.

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