${\ell }^p$-coarse Baum-Connes conjecture for ${\ell }^q$-coarse embeddable spaces

Jinmin Wang, Zhizhang Xie, Guoliang Yu +1

We prove an ${\ell }^p$-version of the coarse Baum-Connes conjecture for spaces that coarsely embedds into ${\ell }^q$-spaces for any $p$ and $q$ in $[1,\infty )$.