The great challenge in writing a book about a topic of ongoing mathematical research
interest lies in determining who and what. Who are the readers for whom the book is …

We prove that the full C∗-algebra of a second-countable, Hausdorff, étale, amenable
groupoid is simple if and only if the groupoid is both topologically principal and minimal. We …

The algebraic structures known as Leavitt path algebras were initially developed in 2004 by
Ara, Moreno and Pardo, and almost simultaneously (using a different approach) by the …

Let GG be a locally compact, Hausdorff, étale groupoid whose unit space is totally
disconnected. We show that the collection A (G) A (G) of locally-constant, compactly …

Let G and H be ample groupoids and let R be a commutative unital ring. We show that if G
and H are equivalent in the sense of Muhly–Renault–Williams, then the associated …

We study the category of left unital graded modules over the Steinberg algebra of a graded
ample Hausdorff groupoid. In the first part of the paper, we show that this category is …

We study the interplay between Steinberg algebras and skew rings: For a partial action of a
group in a Hausdorff, locally compact, totally disconnected topological space, we realize the …

Results of Fowler and Sims show that every k-graph is completely determined by its k-
coloured skeleton and collection of commuting squares. Here we give an explicit description …

Abstract We prove Cuntz-Krieger and graded uniqueness theorems for Steinberg algebras.
We also show that a Steinberg algebra is basically simple if and only if its associated …

Abstract Let O q⁢[K] be the quantized coordinate ring over the field C⁢(q) of rational
functions corresponding to a compact semisimple Lie group 𝐾, equipped with its∗-structure …