Speaker
Elena Bogliolo
(Università di Pisa)
Description
We present a family of groups, introduced by Le Boudec, consisting of automorphisms of a regular tree that have almost prescribed local action (APLA) on the edges around the vertices.
In this talk, we prove a condition for the vanishing of their continuous bounded cohomology, which is a functional analytic version of group cohomology. Moreover, we show that when this condition is not satisfied, the continuous bounded cohomology in degree two is infinite-dimensional.
Primary author
Elena Bogliolo
(Università di Pisa)
