Article ID Journal Published Year Pages File Type
4590817 Journal of Functional Analysis 2011 27 Pages PDF
Abstract

We investigate the behavior of equivariant and non-equivariant Hilbert space compression under group constructions. Given the (equivariant or non-equivariant) Hilbert space compression of two groups, we find bounds on the compression of their free product. We also investigate the case of HNN-extensions of a group relative to a subgroup which is finite or of finite index.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory