Algebraic K-theory of group rings and the cyclotomic trace map

We prove that the Farrell–Jones assembly map for connective algebraic K-theory is rationally injective, under mild homological finiteness conditions on the group and assuming that a weak version of the Leopoldt–Schneider conjecture holds for cyclotomic fields. This generalizes a result of Bökstedt,...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Advances in mathematics (New York. 1965) 2017-01, Vol.304, p.930-1020
Hauptverfasser:	Lück, Wolfgang, Reich, Holger, Rognes, John, Varisco, Marco
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic K-theory Assembly maps Cyclotomic trace Farrell–Jones conjecture Topological cyclic homology Topological Hochschild homology
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!