Erweiterte Suche

Free products of sofic groups with amalgamation over monotileably amenable groups

We show that free products of sofic groups with amalgamation over monotileably amenable subgroups are sofic. Consequently, so are HNN extensions of sofic groups relative to homomorphisms of monotileably amenable subgroups. We also show that families of independent uniformly distributed permutation matrices and certain families of nonrandom permutation matrices (essentially, those coming from quasi-actions of a sofic group) are asymptotically ∗-free as the matrix size grows without bound.

Titel: Free products of sofic groups with amalgamation over monotileably amenable groups
Verfasser: Collins, Benoît
Dykema, Kenneth J.
Organisation: FB 10: Mathematik und Informatik
Dokumenttyp: Artikel
Medientyp: Text
Erscheinungsdatum: 2011
Publikation in MIAMI: 14.11.2011
Datum der letzten Änderung: 08.05.2015
Zeitschrift/Periodikum: Münster Journal of Mathematics / 4 (2011), S. 101 - 118
Fachgebiete: Mathematik
Sprache: Englisch
Format: PDF-Dokument
URN: urn:nbn:de:hbz:6-32449563611
Permalink: https://nbn-resolving.org/urn:nbn:de:hbz:6-32449563611
Onlinezugriff: