Recent developments in Elliott's classification program are the culmination of a burst of
activity in the area of simple nuclear C*-algebras. These breakthroughs have been driven by …

We introduce dynamic asymptotic dimension, a notion of dimension for actions of discrete
groups on locally compact spaces, and more generally for locally compact étale groupoids …

Rokhlin dimension for actions of residually finite groups Page 1 Ergod. Th. & Dynam. Sys. (2019),
39, 2248–2304 doi:10.1017/etds.2017.113 c Cambridge University Press, 2017 Rokhlin …

We establish finite nuclear dimension for crossed product C*-algebras arising from various
classes of possibly non-free topological actions, including arbitrary actions of finitely …

Let A be an algebraically simple, separable, nuclear, Z-stable C∗-algebra for which the
trace space T (A) is a Bauer simplex and the extremal boundary∂ e T (A) has finite covering …

We provide the rigorous foundations for a categorical approach to the classification of C⁎-
dynamics up to cocycle conjugacy. Given a locally compact group G, we consider a category …

We characterize subhomogeneity for twisted étale groupoid-algebras and obtain an upper
bound on their nuclear dimension. As an application, we remove the principality assumption …

We show that the dynamic asymptotic dimension of an action of an infinite virtually cyclic
group on a compact Hausdorff space is always one if the action has the marker property …

We show that any free action of a connected Lie group of polynomial growth on a finite
dimensional locally compact space has finite tube dimension. This is shown to imply that the …

We show that inductive limits of virtually nilpotent groups have strongly quasidiagonal C*-
algebras, extending results of the first author on solvable virtually nilpotent groups. We use …