Sooran Kang

activity

20092022

most citedThe primitive ideals of the Cuntz-Krieger algebra of a row-finite higher-rank graph with no sources

46 citations · 71 across the 19 of their papers we have counts for

collaborators

Showing 2018Show all

7 papers · 1 filter

math.OA2018

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 $D_{μν}^{c}$ , where the Yang-Mills functional is defined on the set of a…

math.PR2018

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…

math.OA2018★ 3 cited

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…

math.OA2018

Spectral triples for higher-rank graph $C^{*}$ -algebras

Carla Farsi, Elizabeth Gillaspy, Antoine Julien +2

In this note, we present a new way to associate a spectral triple to the noncommutative $C^{*}$ -algebra $C^{*} (Λ)$ of a strongly connected finite higher-rank graph $Λ$ . We generalize a…

math.OA2018★ 6 cited

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 $C^{*}$ -algebras of finite higher-rank graphs with no sources, and undertake a comprehensive study of them. Monic r…

math.OA2018

Representations of higher-rank graph $C^{*}$ -algebras associated to $Λ$ -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 $C^{*}$ -algebras associated to strongly connected row-finite $k$ -graphs $Λ$ . We begin by giving an…

math.OA2018

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 $Λ$ , via the infinite path space $Λ^{\infty}$ of $Λ$ . Moreover, we prove t…

Yang-Mills connections on quantum Heisenberg manifolds

Dirichlet forms and ultrametric Cantor sets associated to higher-rank graphs

Purely atomic representations of higher-rank graph C*-algebras

Spectral triples for higher-rank graph C∗-algebras

Monic representations of finite higher-rank graphs

Representations of higher-rank graph C∗-algebras associated to Λ-semibranching function systems

Spectral triples and wavelets for higher-rank graphs

Spectral triples for higher-rank graph $C^{*}$ -algebras

Representations of higher-rank graph $C^{*}$ -algebras associated to $Λ$ -semibranching function systems