activity
20062026
most citedThe Haagerup property for locally compact quantum groups

97 citations · 519 across the 71 of their papers we have counts for

collaborators

87 papers

math.OA2026

Quantum isometry groups of log-Laplacians on Cuntz--Krieger algebras

Amaury Freslon, Dimitris Michail Gerontogiannis, Adam Skalski

We compute the quantum isometry groups of Cuntz-Krieger algebras endowed with the spectral triples coming from the Ahlfors regular structure of the underlying topological Markov ch…

math.OA2025

Invariant subalgebras rigidity for von Neumann algebras of groups arising as certain semidirect products

Tattwamasi Amrutam, Artem Dudko, Yongle Jiang +1

We study the ISR (von Neumann invariant subalgebra rigidity) property for certain discrete groups arising as semidirect products from algebraic actions on certain 2-torsion groups,…

math.OA2025

A quantum Frucht's theorem and quantum automorphisms of quantum Cayley graphs

Michael Brannan, Daniel Gromada, Junichiro Matsuda +2

We establish a quantum version of Frucht's Theorem, proving that every finite quantum group is the quantum automorphism group of an undirected finite quantum graph. The constructio…

math.OA2025

Asymptotic invariants for fusion algebras associated with compact quantum groups

Jacek Krajczok, Adam Skalski

We introduce and study certain asymptotic invariants associated with fusion algebras (equipped with a dimension function), which arise naturally in the representation theory of com…

math.QA2024

Gaussian Generating functionals on easy quantum groups

Uwe Franz, Amaury Freslon, Adam Skalski

We describe all Gaussian generating functionals on several easy quantum groups given by non-crossing partitions. This includes in particular the free unitary, orthogonal and symple…

math.OA2024

Tracial central states on compact quantum groups

Amaury Freslon, Adam Skalski, Simeng Wang

Motivated by classical investigation of conjugation invariant positive-definite functions on discrete groups, we study tracial central states on universal C*-algebras associated wi…