72 citations · 94 across the 19 of their papers we have counts for
31 papers
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…
Noncommutative properties of 0-hyperbolic graphs
Amaury Freslon, Paul Meunier, Pegah Pournajafi
We study several noncommutative properties of 0-hyperbolic graphs. In particular, we prove that 0-hyperbolicity is preserved under quantum isomorphism. We also compute the quantum…
Free Inhomogeneous Wreath Product of Quantum Groups
Josse van Dobben de Bruyn, Amaury Freslon, Prem Nigam Kar +2
We introduce the free inhomogeneous wreath product of compact matrix quantum groups, which generalizes the free wreath product (Bichon 2004). We use this to present a general techn…
Block structures of graphs and quantum isomorphism
Amaury Freslon, Paul Meunier, Pegah Pournajafi
We prove that for every pair of quantum isomorphic graphs, their block trees and their block graphs are isomorphic, and that such an isomorphism can be chosen so that the correspon…
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…
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…
Discrete quantum subgroups of free unitary quantum groups
Amaury Freslon, Moritz Weber
We classify all compact quantum groups whose C*-algebra sits inside that of the free unitary quantum groups . In other words, we classify all discrete quantum subgroups…
Classical actions of quantum permutation groups
Amaury Freslon, Frank Taipe, Simeng Wang
We describe explicitly all actions of the quantum permutation groups on classical compact spaces. In particular, we show that the defining action is the only non-trivial ergodic on…
Connectedness and Gaussian Parts for Compact Quantum Groups
Uwe Franz, Amaury Freslon, Adam Skalski
We introduce the Gaussian part of a compact quantum group , namely the largest quantum subgroup of supporting all the Gaussian functionals of .…
Tannaka-Krein reconstruction and ergodic actions of easy quantum groups
Amaury Freslon, Frank Taipe, Simeng Wang
We give a new alternative version of the reconstruction procedure for ergodic actions of compact quantum groups and we refine it to include characterizations of (braided commutativ…
Free wreath products with amalgamation
Amaury Freslon
We define and study a notion of free wreath product with amalgamation for compact quantum groups. These objects were already introduced in the case of duals of discrete groups unde…
Cutoff profiles for quantum Lévy processes and quantum random transpositions
Amaury Freslon, Lucas Teyssier, Simeng Wang
We consider a natural analogue of Brownian motion on free orthogonal quantum groups and prove that it exhibits a cutoff at time . Then, we study the induced classical proc…
Positive definite functions and cut-off for discrete groups
Amaury Freslon
We consider the sequence of powers of a positive definite function on a discrete group. Taking inspiration from random walks on compact quantum groups, we give several examples of…
Topological generation and matrix models for quantum reflection groups
Michael Brannan, Alexandru Chirvasitu, Amaury Freslon
We establish several new topological generation results for the quantum permutation groups and the quantum reflection groups . We use these results to show that t…
On the representation theory of some noncrossing partition quantum groups
Amaury Freslon
We compute the representation theory of two families of noncrossing partition quantum groups connected to amalgamated free products and free wreath products. This illustrates the e…
Quantum reflections, random walks and cut-off
Amaury Freslon
We study the cut-off phenomenon for random walks on free unitary quantum groups coming from quantum conjugacy classes of classical reflections. We obtain in particular a quantum an…
Cut-off phenomenon for random walks on free orthogonal quantum groups
Amaury Freslon
We give bounds in total variation distance for random walks associated to pure central states on free orthogonal quantum groups. As a consequence, we prove that the analogue of the…
Torsion and K-theory for some free wreath products
Amaury Freslon, Rubén Martos
We classify torsion actions of free wreath products of arbitrary compact quantum groups and use this to prove that if is a torsion-free compact quantum group satisfyin…
On two-coloured noncrossing quantum groups
Amaury Freslon
We classify compact quantum groups associated to noncrossing partitions coloured with two elements and which are their own inverses. Together with the work of P. Tarrago an…
Modelling questions for quantum permutations
Teodor Banica, Amaury Freslon
Given a quantum permutation group , with orbits having the same size , we construct a universal matrix model , having the property that the…
The radial MASA in free orthogonal quantum groups
Amaury Freslon, Roland Vergnioux
We prove that the radial subalgebra in free orthogonal quantum group factors is maximal abelian and mixing, and we compute the associated bimodule. The proof relies on new properti…
Wreath products of finite groups by quantum groups
Amaury Freslon, Adam Skalski
We introduce a notion of partition wreath product of a finite group by a partition quantum group, a construction motivated on the one hand by classical wreath products and on the o…
On bi-free De Finetti theorems
Amaury Freslon, Moritz Weber
We investigate possible generalizations of the de Finetti theorem to bi-free probability. We first introduce a twisted action of the quantum permutation groups corresponding to the…
On the partition approach to Schur-Weyl duality and free quantum groups
Amaury Freslon
We give a general definition of classical and quantum groups whose representation theory is "determined by partitions" and study their structure. This encompasses many examples of…