We give an overview of publications on partial actions and related concepts, paying main
attention to some recent developments on diverse aspects of the theory, such as partial …

We study simplicity and pure infiniteness criteria for C-algebras associated to inverse
semigroup actions by Hilbert bimodules and to Fell bundles over étale not necessarily …

Ideal structure and pure infiniteness of ample groupoid C∗-algebras Page 1 Ergod. Th. &
Dynam. Sys. (2020), 40, 34–63 doi:10.1017/etds.2018.39 c Cambridge University Press, 2018 …

We introduce the notion of continuous orbit equivalence for partial dynamical systems, and
give an equivalent characterization in terms of Cartan-isomorphisms for partial C*-crossed …

This book grew out of the Oberwolfach Seminar “K-Theory for Group C∗-Algebras and
Semigroup C∗-Algebras” organized by the authors in October 2014. In this seminar, we …

We generalise various non-triviality conditions for group actions to Fell bundles over discrete
groups and prove several implications between them. We also study sufficient criteria for the …

This is a survey article about recent developments in semigroup C*-algebras. These C*-
algebras generated by left regular representations of semigroups have been studied for …

We define spectral freeness for actions of discrete groups on C*-algebras. We relate spectral
freeness to other freeness conditions; an example result is that for an action α of a finite …

Let A be a C∗‐subalgebra of the multiplier algebra M (B) of a C∗‐algebra B. Exploiting the
duality between sober spaces and spatial locales, and the adjunction between restriction …

Let G be a Hausdorff, étale groupoid that is minimal and topologically principal. We show
that C∗ r (G) is purely infinite simple if and only if all the non-zero positive elements of C0 (G …