This is an announcement for the paper “Equivariant geometry of Banach spaces and topological groups” by Christian Rosendalhttps://arxiv.org/find/math/1/au:+Rosendal_C/0/1/0/all/0/1.
Abstract: We study uniform and coarse embeddings between Banach spaces and topological groups. A particular focus is put on equivariant embeddings, i.e., continuous cocycles associated to continuous affine isometric actions of topological groups on separable Banach spaces with varying geometry.
The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1610.01070