2 citations · 2 across the 4 of their papers we have counts for
12 papers
Yang-Mills connections and sigma-models on quantum Heisenberg manifolds
Stine Marie Berge, Sooran Kang, Franz Luef
We construct a spectral triple on a quantum Heisenberg manifold, which generalizes the results of Chakraborty and Shinha, and associate to it an energy functional on the set of pro…
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…
Dirichlet forms and ultrametric Cantor sets associated to higher-rank graphs
Jaeseong Heo, Sooran Kang, Yongdo Lim
The aim of this paper is to study the heat kernel and jump kernel of the Dirichlet form associated to ultrametric Cantor sets $\partial\BB_Λ$ that is the infinite path space of the…
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…