Dilian Yang

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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.OA2024

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}…

Cartan subalgebras in self-similar graph C∗-algebras

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

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