6 problems

Unitary Conjugation Groupoid Conjecture. There exists a natural assembly map

Baum–Connes conjecture. The assembly map $\mu_{r}$ is an isomorphism for $\ast=0,1$.

The $\ell^p$-coarse Baum–Connes conjecture. The induced map $\operatorname{ev}_*$ is a K-theoretic isomorphism. This is the $\ell^p$ localization-algebra formulation of the conject…

Localised Baum–Connes surjectivity conjecture. The map

Uniform coarse Baum–Connes conjecture. The map $\mu_u$ is an isomorphism. This is the discrete Rips-complex formulation of the uniform coarse Baum–Connes conjecture, connecting uni…

Let $\pi\colon M\to B$ be a smooth fibre bundle of compact manifolds, let $p\colon \widetilde M\to M$ be a normal covering with torsion-free deck-transformation group $\Gamma$, and…