Tom Kaiser (Université de Neuchâtel)

Title: Sofic approximations and property A.

Consider a residually finite group, then given a filtration we can construct the box space of this group with respect to the chosen filtration. It is a known result that the box space having property A is equivalent to the group being amenable. The same is true for hyperfiniteness. Firstly we will optimise this result by replacing filtrations by Farber sequences and secondly determine which arrows still hold when we replace box spaces by sofic approximations.

Knowledge of the above concepts is not required since these will be introduced during the talk.