Benjamin Anderson-Sackaney

Welcome! I'm a PIMS-Simons PDF at the University of Saskatchewan under the mentorship of Ebrahim Samei.

Previously I was a postdoc at the Université de Caen-Normandie under the mentorship of Roland Vergnioux. I completed my PhD at the University of Waterloo under the supervision of Michael Brannan and Nico Spronk in 2022.

My research interests lie in quantum groups, abstract harmonic analysis, and operator algebras, and closely related fields.

As a known Indigenous mathematician of North America, I have a profile here.

My CV:

CV BAS.pdf

Preprints and Publications

Preprints:

(with L. Vainerman) Fusion Modules and Amenability of Coideals of Compact and Discrete Quantum Groups, arXiv:2308.01656 - arXiv

Publications:

Tracial States and $\mathbb{G}$-Invariant States of Discrete Quantum Groups, (accepted to Studia Mathematica), arXiv:2205.05176 - arXiv
(with F. Khosravi) Topological Boundaries of Representations and Coideals, Advances in Mathematics, Vol: 452, No. 109830 (2024) - arXiv
On Amenable and Coamenable Coideals, Journal of Noncommutative Geometry, Vol: 18, No: 3 (2024), 1129–1163 - arXiv
On Ideals of $L^1$–algebras of Compact Quantum Groups, International Journal of Mathematics, Vol: 22, No: 12, 2250074 (2022) - arXiv

Comments on Articles

On Ideals of $L^1$–algebras of Compact Quantum Groups. A typo was kindly pointed out to me by Matthew Daws. In Section 3.3, the definition of condition (H) of an element $x\in L^\infty(\G)$ should be replaced with "$x \in \overline{x\conv L^1(\G)}^{wk*}$". Note that the unitary antipode can be used to prove every $x$ has condition (H) in this sense iff every $x$ has condition (H) in the sense as in the article.
Topological Boundaries of Representations and Coideals. A minor comment was kindly give to me by Joeri de Ro. In the statement of Theorem 6.1, the assumption of injectivity of a vN-algebraic coideal of a DQG is given. Note, however, that coideals of DQGs are always injective because they are direct products of matrix algebras (see [15]).