11 citations · 13 across the 4 of their papers we have counts for
5 papers
Detecting K-theory by cyclic homology
Wolfgang Lueck, Holger Reich
We discuss which part of the rationalized algebraic K-theory of a group ring is detected via trace maps to Hochschild homology, cyclic homology, periodic cyclic or negative cyclic…
The Baum-Connes and the Farrell-Jones Conjectures in K- and L-Theory
Wolfgang Lueck, Holger Reich
We give a survey of the meaning, status and applications of the Baum-Connes Conjecture about the topological K-theory of the reduced group C^*-algebra and the Farrell-Jones Conject…
On the Farrell-Jones Conjecture for higher algebraic K-theory
A. Bartels, H. Reich
We prove the Farrell-Jones Isomorphism Conjecture about the algebraic K-theory of a group ring RG in the case where the group G is the fundamental group of a closed Riemannian mani…
L^2-Betti numbers, isomorphism conjectures and noncommutative localization
Holger Reich
In this paper we discuss how the question about the rationality of L^2-Betti numbers is related to the Isomorphism Conjecture in algebraic K-theory and why in this context noncommu…
On the Isomorphism Conjecture in algebraic K-theory
Arthur Bartels, Tom Farrell, Lowell Jones +1
The Isomorphism Conjecture is a conceptional approach towards a calculation of the algebraic K-theory of a group ring RG, where G is an infinite group. In this paper we prove the c…