On the domain of the assembly map in algebraic K-theory
arXiv:math/0311216 · doi:10.2140/agt.2003.3.1037
Abstract
We compare the domain of the assembly map in algebraic K-theory with respect to the family of finite subgroups with the domain of the assembly map with respect to the family of virtually cyclic subgroups and prove that the former is a direct summand of the later.
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-35.abs.html
References in corpus (1)
Cited by in corpus (25)
- The K-theoretic Farrell-Jones Conjecture for hyperbolic groups
- K- and L-theory of the semi-direct product of the discrete 3-dimensional Heisenberg group by Z/4
- On the classifying space of the family of virtually cyclic subgroups
- Hyperelementary assembly for K-theory of virtually abelian groups
- Algebraic -theory, assembly maps, controlled algebra, and trace methods
- Splitting the relative assembly map, Nil-terms and involutions
- Split injectivity of A-theoretic assembly maps
- K- and L-theory of group rings
- Induction Theorems and Isomorphism Conjectures for K- and L-Theory
- Isomorphism Conjecture for homotopy K-theory and groups acting on trees
- Topological rigidity and H_1-negative involutions on tori
- On the Farrell-Jones Conjecture and its applications
- Injectivity results for coarse homology theories
- On the Farrell-Jones and related Conjectures
- On the K-theory of subgroups of virtually connected Lie groups
- Orbit categories, classifying spaces, and generalized homotopy fixed points
- Revisiting Farrell's nonfiniteness of Nil
- A twisted Bass-Heller-Swan decomposition for the algebraic K-theory of additive categories
- The Lower Algebraic K-Theory of Split Three-Dimensional Crystallographic Groups
- On the K- and L-theory of hyperbolic and virtually finitely generated abelian groups
- Detecting K-theory by cyclic homology
- On the algebraic K-theory of 3-manifold groups
- The Behavior of Nil-Groups under Localization and the Relative Assembly Map
- Algebraic K-theory of hyperbolic 3-simplex reflection groups
- On the K-theory of certain extensions of free groups