3 problems

Twisted Bost conjecture. The map $\mu_\sigma^{\mathcal A}$ is an isomorphism for $j=0,1$. The conjecture is presented as an unconditional analogue of the twisted Baum–Connes conjec…

Mamma conjecture. Given a group $G$, the functors $K(-;{\mathcal B})$ have the ${\mathcal V}C$-assembly property for all strictly finite dg cells ${\mathcal B}$, when the base ring…

Mamma conjecture. Given a group $G$, the fundamental additive invariant ${\nobreak\boldsymbol{\mathbf{E}}}^{\mathsf{fund}}$ has the ${\mathcal V}C$-assembly property when the base…