2 citations · 3 across the 4 of their papers we have counts for
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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 .…
Isomorphism of the cubical and categorical cohomology groups of a higher-rank graph
Elizabeth Gillaspy, Jianchao Wu
We use category-theoretic techniques to provide two proofs showing that for a higher-rank graph , its cubical (co-)homology and categorical (co-)homology groups are isomorphic i…
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…
Monic representations of finite higher-rank graphs
Carla Farsi, Elizabeth Gillaspy, Palle Jorgensen +2
In this paper we define the notion of monic representation for the -algebras of finite higher-rank graphs with no sources, and undertake a comprehensive study of them. Monic r…
Representations of higher-rank graph -algebras associated to -semibranching function systems
Carla Farsi, Elizabeth Gillaspy, Palle E. T. Jorgensen +2
In this paper, we discuss a method of constructing separable representations of the -algebras associated to strongly connected row-finite -graphs . We begin by giving an…