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 study C⁎-irreducibility of inclusions of reduced twisted group C⁎-algebras and of
reduced group C⁎-algebras. We characterize C⁎-irreducibility in the case of an inclusion …

We give sufficient conditions for a subgroup of a tree almost automorphism group to be
isomorphic to the topological full groups of a one-sided shift in the sense of Matui. As an …

We extend the Burger–Mozes theory of closed, nondiscrete, locally quasiprimitive
automorphism groups of locally finite, connected graphs to the semiprimitive case, and …

We establish three independent results on groups acting on trees. The first implies that a
compactly generated locally compact group which acts continuously on a locally finite tree …

We define a free product of connected simple graphs that is equivalent to several existing
definitions when the graphs are vertex-transitive but differs otherwise. The new definition is …

It was proved by Samei and Wiersma that for every non-compact, closed subgroup of the
automorphism group of a (semi-) homogeneous tree acting transitively on the boundary and …

We prove the vanishing of bounded cohomology of the groups acting on trees with almost
prescribed local actions $ G (F, F') $, where $ F< F'$ are finite permutation groups such that …

A connected, locally finite graph is a Cayley–Abels graph for a totally disconnected, locally
compact group G if G acts vertex-transitively on with compact, open vertex stabilizers. Define …

We present an algorithm which takes as input a finite set X of automorphisms of a simplicial
tree, and outputs a generating set X′ of< X> such that either< X> is purely hyperbolic and …