Tom Kaiser: Fun with graph sequences (aka Farber sequences and sofic approximations of amenable groups)

Előadó: Tom Kaiser

Cím: Fun with graph sequences (aka Farber sequences and sofic approximations of amenable groups)

Absztrakt: Consider a residually finite group, then given a filtration we can construct the box space of this group with respect to the chosenfiltration. It is well-known 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.