%0 Journal Article
%T Relatively expanding box spaces with no expansion
%A Goulnara Arzhantseva
%A Romain Tessera
%J Mathematics
%D 2014
%I arXiv
%X We exhibit a finitely generated group $G$ and a sequence of finite index normal subgroups $N_n\trianglelefteq G$ such that for every finite generating subset $S\subseteq G$, the sequence of finite Cayley graphs $(G/N_n, S)$ does not coarsely embed into any $L^p$-space for $1\leqslant p<\infty$ (moreover, into any uniformly curved Banach space), and yet admits no weakly embedded expander.
%U http://arxiv.org/abs/1402.1481v2