| Résume | Résumé : Uniform Roe algebras are C*-algebras associated to uniformly locally finite (ULF) metric spaces that capture their coarse geometry. Their K-theory groups are of particular importance for variants of the Baum-Connes and Novikov conjectures.
In this talk, we will introduce the 0th uniformly finite homology group for ULF metric spaces and construct the comparison map that relates it to the K-theory of the uniform Roe algebra. We will show that this map is intrinsically connected to the rigidity phenomenon of uniform Roe algebras. |
