From the mid-1970s, Eberhard Kirchberg undertook a remarkable extensive study of $ C^* $-
algebras exactness whose applications spread out to many branches of analysis. In this …

Let $ G $ be a second-countable, locally compact group. In this article we study amenable $
G $-actions on Kirchberg algebras that admit an approximately central embedding of a …

Given a second-countable, locally compact group G, we consider amenable G-actions on
separable, stable, nuclear C⁎-algebras that are isometrically shift-absorbing and tensorially …

In this work we introduce and study a new notion of amenability for actions of locally
compact groups on $ C^* $-algebras. Our definition extends the definition of amenability for …

We introduce the notion of tracial amenability for actions of discrete groups on unital, tracial
C∗-algebras, as a weakening of amenability where all the relevant approximations are done …

Let G be a locally compact quantum group, and A, B von Neumann algebras on which G
acts. We refer to these as G-dynamical W⁎-algebras. We make a study of G-equivariant AB …

In this paper we study the nuclearity and weak containment property of reduced cross-
sectional C⁎-algebras of Fell bundles over inverse semigroups. In order to develop the …

Our purpose is to introduce in the setting of locally compact groupoids the analogues of the
well known equivalent definitions of exactness for discrete groups. We study the relations …

Building on previous papers by Anantharaman-Delaroche (AD) we introduce and study the
notion of AD-amenability for partial actions and Fell bundles over discrete groups. We prove …

We investigate Matui-Sato's notion of property (SI) for C*-dynamics, this time with a focus on
actions of possibly non-amenable groups. The main result is a generalization of earlier work …