The Baum-Connes Conjecture via Localisation of Categories
Ralf Meyer, Ryszard Nest
Abstract
We redefine the Baum-Connes assembly map using simplicial approximation in the equivariant Kasparov category. This new interpretation is ideal for studying functorial properties and gives analogues of the assembly maps for all equivariant homology theories, not just for the K-theory of the crossed product. We extend many of the known techniques for proving the Baum-Connes conjecture to this more general setting.
Create a lesson
Related papers
Gerstenhaber algebra structure on the Hochschild cohomology ring of the Xu--Snashall algebra
Qi Long, Ziyang Shi, Guodong Zhou
K-theory of Matroids and Monoid Schemes
Christian Haesemeyer, Charles A. Weibel
On motivic cohomology of commutative C*-algebras
Ko Aoki
The Nil K-groups of finite groups
Ted Chinburg, Matthew Morrow, Georgios Pappas et al.
The Oka principle for étale Chow groups
Ko Aoki
General linear and Steinberg groups over the Leavitt algebra L F2(1,2)
Huynh Viet Khanh