46 citations · 71 across the 19 of their papers we have counts for
6 papers · 2 filters
Yang-Mills connections on quantum Heisenberg manifolds
Sooran Kang, Franz Luef, Judith A. Packer
We investigate critical points and minimizers of the Yang-Mills functional YM on quantum Heisenberg manifolds , where the Yang-Mills functional is defined on the set of a…
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…
Spectral triples and wavelets for higher-rank graphs
Carla Farsi, Elizabeth Gillaspy, Antoine Julien +2
In this paper, we present a new way to associate a finitely summable spectral triple to a higher-rank graph , via the infinite path space of . Moreover, we prove t…