About von Neumann’s problem for locally compact groups

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Beitragende

Abstract

We note a generalization of Whyte’s geometric solution to the von Neumann problem for locally compact groups in terms of Borel and clopen piecewise translations. This strengthens a result of Paterson on the existence of Borel paradoxical decompositions for non-amenable locally compact groups. Along the way, we study the connection between some geometric properties of coarse spaces and certain algebraic characteristics of their wobbling groups.

Details

OriginalspracheEnglisch
Seiten (von - bis)1531-1549
Seitenumfang19
FachzeitschriftJournal of Noncommutative Geometry
Jahrgang12
Ausgabenummer4
PublikationsstatusVeröffentlicht - 2018
Peer-Review-StatusJa

Externe IDs

Scopus 85061329507

Schlagworte

Schlagwörter

  • Amenability, Coarse geometry, Locally compact groups, Paradoxicality, Piecewise translations