Benjamin Anderson-Sackaney

activity

20202026

collaborators

8 papers

math.OA2026

Operator Algebraic Quantum Hypergroups

Benjamin Anderson-Sackaney, Leonid Vainerman

We develop a theory of operator algebraic quantum hypergroups and their representations, formulated using a special case of the algebraic quantum hypergroup framework of van Daele…

math.OA2024

$C^{*}$ -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.DS2024

Entropies and Poisson boundaries of random walks on groups with rapid decay

Benjamin Anderson-Sackaney, Tim de Laat, Ebrahim Samei +1

Let $G$ be a countable group and $μ$ a probability measure on $G$ . We build a new framework to compute asymptotic quantities associated with the $μ$ -random walk on $G$ , using metho…

math.OA2023

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…

math.QA2023

Fusion modules and amenability of coideals of compact and discrete quantum groups

Benjamin Anderson-Sackaney, Leonid Vainerman

We give a definition of an amenable fusion module over a fusion algebra. A notion of relative integrability for the `coduals' of coideals of compact quantum groups was recently int…

math.OA2022

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.OA2021

On Ideals of $L^{1}$ -algebras of Compact Quantum Groups

Benjamin Anderson-Sackaney

We develop a notion of a non-commutative hull for a left ideal of the $L^{1}$ -algebra of a compact quantum group $G$ . A notion of non-commutative spectral synthesis for comp…

math.OA2020

On Amenable and Coamenable Coideals

Benjamin Anderson-Sackaney

We study relative amenability and amenability of a right coideal $N_{P} \subseteq ℓ^{\infty} (G)$ of a discrete quantum group in terms of its group-like projectio…

Operator Algebraic Quantum Hypergroups

C∗-simplicity and boundary actions of discrete quantum groups

Entropies and Poisson boundaries of random walks on groups with rapid decay

Topological Boundaries of Representations and Coideals

Fusion modules and amenability of coideals of compact and discrete quantum groups

Tracial States and G-Invariant States of Discrete Quantum Groups

On Ideals of L1-algebras of Compact Quantum Groups

On Amenable and Coamenable Coideals

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

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

On Ideals of $L^{1}$ -algebras of Compact Quantum Groups