Convergence actions and Specker compactifications

TL;DR

This paper explores the relationship between convergence actions of locally compact groups and Specker compactifications, generalizing the concept of ends to better understand group boundaries.

Contribution

It establishes a connection between convergence properties and Specker compactifications, extending the theory of group ends to a broader context.

Findings

Identifies conditions linking convergence actions and Specker compactifications.

Generalizes the notion of ends for locally compact groups.

Provides new insights into the boundary theory of groups.

Abstract

We study locally compact convergence groups, in particular the link between the convergence property and the Specker compactifications (a genaralization of the ends) of a group.