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

preprint2021arXivOpen access

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

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