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arXiv · 1909.08712

$L^p$ Coarse Baum-Connes Conjecture and $K$-theory for $L^p$ Roe Algebras

Jianguo Zhang·Dapeng Zhou
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Abstract

In this paper, we verify the $L^p$ coarse Baum-Connes conjecture for spaces with finite asymptotic dimension for $p\in[1,\infty)$. We also show that the $K$-theory of $L^p$ Roe algebras are independent of $p\in(1,\infty)$ for spaces with finite asymptotic dimension.

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Jianguo Zhang, Dapeng Zhou. 2019-09-18. $L^p$ Coarse Baum-Connes Conjecture and $K$-theory for $L^p$ Roe Algebras. https://arxiv.org/abs/1909.08712

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