Geometrization of the Strong Novikov Conjecture for residually finite groups

Geometrization of the Strong Novikov Conjecture for residually finite groups

In this paper, we prove that the Strong Novikov Conjecture for a residually finite group is essentially equivalent to the Coarse Geometric Novikov Conjecture for a certain metric space associated to the group. As an application, we obtain the Coarse Geometric Novikov Conjecture for a large class of...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal für die reine und angewandte Mathematik 2008, Vol.2008 (621), p.159-189
Hauptverfasser: Gong, Guihua, Wang, Qin, Yu, Guoliang
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we prove that the Strong Novikov Conjecture for a residually finite group is essentially equivalent to the Coarse Geometric Novikov Conjecture for a certain metric space associated to the group. As an application, we obtain the Coarse Geometric Novikov Conjecture for a large class of sequences of expanders.
ISSN:0075-4102
1435-5345
DOI:10.1515/CRELLE.2008.061