EQUIVARIANT GEOMETRY OF BANACH SPACES AND TOPOLOGICAL GROUPS

Abstract

We study uniform and coarse embeddings between Banach spaces and topological groups. A particular focus is put on equivariant embeddings, that is, continuous cocycles associated to continuous affine isometric actions of topological groups on separable Banach spaces with varying geometry.

Keywords

• 46B80
• 46B20 (primary)
• 20F65 (secondary)