50 citations · 115 across the 13 of their papers we have counts for
3 papers · 2 filters
Purely infinite simple C*-algebras that are principal groupoid C*-algebras
Jonathan H. Brown, Lisa Orloff Clark, Adam Sierakowski +1
From a suitable groupoid G, we show how to construct an amenable principal groupoid whose C*-algebra is a Kirchberg algebra which is KK-equivalent to C*(G). Using this construction…
Filling families and strong pure infiniteness
Eberhard Kirchberg, Adam Sierakowski
We introduce filling families with matrix diagonalization as a refinement of the work by Rørdam and the first named author. As an application we improve a result on local pure infi…
Real rank and topological dimension of higher rank graph algebras
David Pask, Adam Sierakowski, Aidan Sims
We study dimension theory for the -algebras of row-finite -graphs with no sources. We establish that strong aperiodicity - the higher-rank analogue of condition (K) - for a…