Benjamin Anderson-Sackaney

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math.OA2026

$C^{*}$ -simplicity and boundary actions of discrete quantum groups

Benjamin Anderson-Sackaney, Roland Vergnioux

We introduce and investigate several quantum group dynamical notions for the purpose of studying $C^{*}$ -simplicity of discrete quantum groups via the theory of boundary actions. In…

math.OA2024

Tracial States and $G$ -Invariant States of Discrete Quantum Groups

Benjamin Anderson-Sackaney

We investigate the tracial states and $G$ -invariant states on the reduced $C^{*}$ -algebra $C_{r} (G)$ of a discrete quantum group $G$ . Here, we deno…

math.OA2024

Topological Boundaries of Representations and Coideals

Benjamin Anderson-Sackaney, Fatemeh Khosravi

For a locally compact quantum group $G$ , a (left) coideal is a (left) $G$ -invariant von Neumann subalgebra of $L^{\infty} (G)$ . We introduce and analyze var…

C∗-simplicity and boundary actions of discrete quantum groups

Tracial States and G-Invariant States of Discrete Quantum Groups

Topological Boundaries of Representations and Coideals

$C^{*}$ -simplicity and boundary actions of discrete quantum groups

Tracial States and $G$ -Invariant States of Discrete Quantum Groups