2 citations · 2 across the 3 of their papers we have counts for
14 papers
Irreducibility and monicity for representations of -graph -algebras
Carla Farsi, Elizabeth Gillaspy, Daniel Gonçalves
The representations of a -graph -algebra which arise from -semibranching function systems are closely linked to the dynamics of the -graph . In this paper…
Classifying spaces and Bredon (co)homology for transitive groupoids
Carla Farsi, Laura Scull, Jordan Watts
We define the orbit category for transitive topological groupoids and their equivariant CW-complexes. By using these constructions we define equivariant Bredon homology and cohomol…
Ample groupoids: equivalence, homology, and Matui's HK conjecture
Carla Farsi, Alex Kumjian, David Pask +1
We investigate the homology of ample Hausdorff groupoids. We establish that a number of notions of equivalence of groupoids appearing in the literature coincide for ample Hausdorff…
Generalized gauge actions on -graph -algebras: KMS states and Hausdorff structure
Carla Farsi, Elizabeth Gillaspy, Nadia S. Larsen +1
For a finite, strongly connected -graph , an Huef, Laca, Raeburn and Sims studied the KMS states associated to the preferred dynamics of the -graph -algebra .…
Purely atomic representations of higher-rank graph C*-algebras
Carla Farsi, Elizabeth Gillaspy, Palle Jorgensen +2
We study purely atomic representations of C*-algebras associated to row-finite and source-free higher-rank graphs. We describe when purely atomic representations are unitarily equi…
Spectral triples for higher-rank graph -algebras
Carla Farsi, Elizabeth Gillaspy, Antoine Julien +2
In this note, we present a new way to associate a spectral triple to the noncommutative -algebra of a strongly connected finite higher-rank graph . We generalize a…