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arXiv · 2110.10859

$K$-theory of relative group $C^*$-algebras and the relative Novikov conjecture

Jintao Deng·Geng Tian·Zhizhang Xie·Guoliang Yu
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Abstract

The relative Novikov conjecture states that the relative higher signatures of manifolds with boundary are invariant under orientation-preserving homotopy equivalences of pairs. In this paper, we study the relative Baum-Connes assembly map for any pair of groups and apply it to solve the relative Novikov conjecture when the groups satisfy certain geometric conditions.

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Jintao Deng, Geng Tian, Zhizhang Xie, Guoliang Yu. 2021-10-21. $K$-theory of relative group $C^*$-algebras and the relative Novikov conjecture. https://arxiv.org/abs/2110.10859

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