We prove a general criterion for the vanishing of second bounded cohomology (with trivial
real coefficients) for groups that admit an action satisfying certain mild hypotheses. This …

We introduce Property. NL/, which indicates that a group does not admit any (isometric)
action on a hyperbolic space with loxodromic elements. In other words, such a group G can …

We show that a large family of groups is uniformly stable relative to unitary groups equipped
with submultiplicative norms, such as the operator, Frobenius, and Schatten p-norms. These …

We study the bounded cohomology of certain groups acting on the Cantor set. More
specifically, we consider the full group of homeomorphisms of the Cantor set as well as …

We study when a piecewise full group (aka topological full group) of homeomorphisms of the
Cantor space $ X $ can be given a non-discrete totally disconnected locally compact (tdlc) …

We show that plane Cremona groups over finite fields embed as dense subgroups into
Neretin groups, that is, groups of almost automorphisms of rooted trees. We also show that if …

We show that the labeled Thompson groups and the twisted Brin--Thompson groups are
boundedly acyclic. This allows us to prove several new embedding results for groups. First …

In this article, we state and prove a general criterion allowing us to show that some groups
are hyperbolically elementary, meaning that every isometric action of one of these groups on …

In this monograph we lay the foundation for a theory of coarse groups and coarse actions.
Coarse groups are group objects in the category of coarse spaces, and can be thought of as …

Abstract Let I= 0, 1) I=0,1) and PC (I) PC(I) (resp. PC+(I) PC^+(I)) be the quotient group of the
group of all piecewise continuous (resp. piecewise continuous and orientation preserving) …