BOREL DENSITY FOR APPROXIMATE LATTICES
Artikel i vetenskaplig tidskrift, 2019

We extend classical density theorems of Borel and Dani-Shalom on lattices in semisimple, respectively solvable algebraic groups over local fields to approximate lattices. Our proofs are based on the observation that Zariski closures of approximate subgroups are close to algebraic subgroups. Our main tools are stationary joinings between the hull dynamical systems of discrete approximate subgroups and their Zariski closures.

Författare

Michael Björklund

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

Tobias Hartnick

Karlsruher Institut für Technologie (KIT)

Thierry Stulemeijer

Justus Liebig University Giessen

Forum of Mathematics, Sigma

2050-5094 (ISSN)

Vol. 7 e40

Ämneskategorier

Algebra och logik

Geometri

Matematisk analys

Fundament

Grundläggande vetenskaper

DOI

10.1017/fms.2019.39

Mer information

Senast uppdaterat

2020-01-27