8 citations · 28 across the 10 of their papers we have counts for
5 papers · 1 filter
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…
Rational Computations of the Topological K-Theory of Classifying Spaces of Discrete Groups
Wolfgang Lueck
We compute rationally the topological (complex) K-theory of the classifying space BG of a discrete group provided that G has a cocompact G-CW-model for its classifying space for pr…
Isomorphism Conjecture for homotopy K-theory and groups acting on trees
Arthur Bartels, Wolfgang Lueck
We discuss an analogon to the Farrell-Jones Conjecture for homotopy algebraic K-theory. In particular, we prove that if a group G acts on a tree and all isotropy groups satisfy thi…
Induction Theorems and Isomorphism Conjectures for K- and L-Theory
Arthur Bartels, Wolfgang Lueck
The Farrell-Jones and the Baum-Connes Conjecture say that one can compute the algebraic K- and L-theory of the group ring and the topological K-theory of the reduced group C^*-alge…
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…