We study the Wold decomposition for representations of a self-similar semigroup P action on
a directed graph E. We then apply this decomposition to the case where P= N to study the C …

We introduce the notion of self-similar actions of groupoids on other groupoids and Fell
bundles. This leads to a new imprimitivity theorem arising from such dynamics, generalizing …

We study the categorical homology of Zappa–Szép products of small categories, which
include all self-similar actions. We prove that the categorical homology coincides with the …

We define and study the external and the internal Zappa-Sz\'{e} p product of twists over
groupoids. We determine when a pair $(\Sigma_ {1},\Sigma_ {2}) $ of twists over a matched …

Given a full right-Hilbert C*-module $\mathbf {X} $ over a C*-algebra $ A $, the set $\mathbb
{K} _ {A}(\mathbf {X}) $ of $ A $-compact operators on $\mathbf {X} $ is the (up to …

The author employs bundle theory to investigate dynamics on C*-algebras. Using methods
old and new to define dynamics on topological spaces (often with additional structure) …