24 citations · 61 across the 6 of their papers we have counts for
6 papers
Simplicity of algebras associated to étale groupoids
Jonathan H. Brown, Lisa Orloff Clark, Cynthia Farthing +1
We prove that the C*-algebra of a second-countable, étale, amenable groupoid is simple if and only if the groupoid is topologically principal and minimal. We also show that if G ha…
A groupoid generalization of Leavitt path algebras
Lisa Orloff Clark, Cynthia Farthing, Aidan Sims +1
Let G be a locally compact, Hausdorff groupoid in which s is a local homeomorphism and the unit space is totally disconnected. Assume there is a continuous cocycle c from G into a…
The crossed-product structure of C*-algebras arising from topological dynamical systems
Cynthia Farthing, Nura Patani, Paulette N. Willis
We show that every topological k-graph constructed from a locally compact Hausdorff space Ω and a family of pairwise commuting local homeomorphisms on Ω satisfying a uniform bounde…
Crossed products of k-graph C*-algebras by Z^l
Cynthia Farthing, David Pask, Aidan Sims
An action of Z^l by automorphisms of a k-graph induces an action of Z^l by automorphisms of the corresponding k-graph C*-algebra. We show how to construct a (k+l)-graph whose C*-al…
Removing sources from higher-rank graphs
Cynthia Farthing
For a higher-rank graph with sources we detail a construction that creates a higher-rank graph that does not have sources and contains as a subgraph. Furthermore, w…
Higher-rank graph C*-algebras: an inverse semigroup and groupoid approach
Cynthia Farthing, Paul S. Muhly, Trent Yeend
We provide inverse semigroup and groupoid models for the Toeplitz and Cuntz-Krieger algebras of finitely aligned higher-rank graphs. Using these models, we prove a uniqueness theor…