$L^p$ compression of some HNN extensions

TL;DR

This paper investigates how certain HNN extensions can be embedded into Lebesgue spaces, providing quantitative insights using recent advances in the theory of locally compact groups.

Contribution

It offers new quantitative results on embeddings of HNN extensions into Lebesgue spaces leveraging recent developments in locally compact group theory.

Findings

Quantitative embedding results for HNN extensions

Application of recent locally compact group theory

Enhanced understanding of group embeddings into Lebesgue spaces

Abstract

Using recent developments on locally compact groups, we are able to obtain quantitative results on embeddings into Lebesgue spaces for a large class of HNN extensions.