The integral K-theoretic Novikov conjecture for groups with finite asymptotic dimension

57 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Finite decomposition complexity and the integral Novikov conjecture for higher algebraic K-theory (2011, background): “In earlier work on assembly maps in higher algebraic K–theory, nerves of coverings (as in Bartels [3] or Carlsson–Goldfarb [8]) or compactifications of the universal space EΓ (as in Carlsson–Pedersen [9] or Rosenthal [24]) played roles similar to the Rips complexes used here.”
A notion of geometric complexity and its application to topological rigidity (2010, background): “The concept of finite asymptotic dimension has played an important role in the computation of K-theory in both topological and analytic contexts [2, 5, 6, 28].”
Asymptotic dimension of relatively hyperbolic groups (2004, background): “Some other results concerning groups of finite asymptotic dimension can be found in [6, 9, 20].”
An etale approach to the Novikov conjecture (2005, background): “In algebraic K-theory there are papers [Ba, CG2], which apply to L-theory as well (without the restrictions on R); moreover [CFY] has yet another approach to the stronger L-theory result.”
Equivariant covers for hyperbolic groups (2006, unknown): “20F65, 20F67; 37D40, 57M07”