19 citations · 39 across the 3 of their papers we have counts for
3 papers
math.OA2014★ 19 cited
Purely infinite -algebras associated to étale groupoids
Jonathan Brown, Lisa Orloff Clark, Adam Sierakowski
Let be a Hausdorff, étale groupoid that is minimal and topologically principal. We show that is purely infinite simple if and only if all the nonzero positive elemen…
math.OA2014★ 1 cited
Twisted k-graph algebras associated to Bratteli diagrams
David Pask, Adam Sierakowski, Aidan Sims
Given a system of coverings of k-graphs, we show that the cohomology of the resulting (k+1)-graph is isomorphic to that of any one of the k-graphs in the system. We then consider B…
math.OA2010★ 19 cited
Purely infinite C*-algebras arising from crossed products
Mikael Rordam, Adam Sierakowski
We study conditions that will ensure that a crossed product of a C*-algebra by a discrete exact group is purely infinite (simple or non-simple). We are particularly interested in t…