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

Abstract

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 $[1,\infty )$.

34 pages. Minor revision; comments welcome