Dilian Yang

activity

20072026

most citedPeriodicity in Rank 2 Graph Algebras

74 citations · 205 across the 26 of their papers we have counts for

collaborators

27 papers

math.OA2026

Cartan subalgebras in self-similar graph $C^{*}$ -algebras

Dawn Archey, Anna Duwenig, Shanshan Hua +3

For a self-similar graph $(G, E)$ , we find a distinguished subgroupoid of the associated path groupoid $G_{G, E}$ -- the symmetric cycline subgroupoid $\mathcal{S}_{\text{…

math.OA2023★ 1 cited

Wold Decomposition and C*-envelopes of Self-Similar Semigroup Actions on Graphs

Boyu Li, Dilian Yang

We study the Wold decomposition for representations of a self-similar semigroup $P$ action on a directed graph $E$ . We then apply this decomposition to the case where $P=\mathbb{N}…

math.OA2021

Higman-Thompson Like Groups of Higher Rank Graph C*-Algebras

Dilian Yang

Let $Λ$ be a row-finite and source-free higher rank graph with finitely many vertices. In this paper, we define the Higman-Thompson like group $\Lht$ of the graph C*-algebra $\math…

math.OA2020

Zappa-Szép actions of groups on product systems

Boyu Li, Dilian Yang

Let $G$ be a group and $X$ be a product system over a semigroup $P$ . Suppose $G$ has a left action on $P$ and $P$ has a right action on $G$ , so that one can form a Zappa-Szép produ…

math.OA2019

Nuclearity of semigroup C*-algebras

Astrid an Huef, Brita Nucinkis, Camila F. Sehnem +1

We study the semigroup C*-algebra of a positive cone P of a weakly quasi-lattice ordered group. That is, P is a subsemigroup of a discrete group G with P\cap P^{-1}=\{e\} and such…

math.OA2019★ 4 cited

The ideal structures of self-similar $k$ -graph C*-algebras

Hui Li, Dilian Yang

Let $(G, Λ)$ be a self-similar $k$ -graph with a possibly infinite vertex set $Λ^{0}$ . We associate a universal C*-algebra $O_{G, Λ}$ to $(G, Λ)$ . The main purpose of this pap…

Cartan subalgebras in self-similar graph C∗-algebras