%0 Journal Article
%T Uniqueness theorems for topological higher-rank graph C*-algebras
%A Jean N. Renault
%A Aidan Sims
%A Dana P. Williams
%A Trent Yeend
%J Mathematics
%D 2009
%I arXiv
%X We consider the boundary-path groupoids of topological higher-rank graphs. We show that the all such groupoids are topologically amenable. We deduce that the C*-algebras of topological higher-rank graphs are nuclear and prove versions of the gauge-invariant uniqueness theorem and the Cuntz-Krieger uniqueness theorem. We then provide a necessary and sufficient condition for simplicity of a topological higher-rank graph C*-algebra, and a condition under which it is also purely infinite.
%U http://arxiv.org/abs/0906.0829v3