72 citations · 94 across the 19 of their papers we have counts for
14 papers · 1 filter
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…
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…
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…
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…
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…
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…
Permanence of approximation properties for discrete quantum groups
Amaury Freslon
We prove several results on the permanence of weak amenability and the Haagerup property for discrete quantum groups. In particular, we improve known facts on free products by allo…
Graphs of quantum groups and K-amenability
Pierre Fima, Amaury Freslon
Building on a construction of J-P. Serre, we associate to any graph of C*-algebras a maximal and a reduced fundamental C*-algebra and use this theory to construct the fundamental q…
CCAP for universal discrete quantum groups
Kenny De Commer, Amaury Freslon, Makoto Yamashita
We show that the discrete duals of the free orthogonal quantum groups have the Haagerup property and the completely contractive approximation property. Analogous results hold for t…
Examples of weakly amenable discrete quantum groups
Amaury Freslon
We prove that Wang's free orthogonal and free unitary quantum groups are weakly amenable and that their Cowling-Haagerup constant is equal to 1. This is achieved by estimating the…
A note on weak amenability for reduced free products of discrete quantum groups
Amaury Freslon
We prove that the Cowling-Haagerup constant of a reduced free product of weakly amenable discrete quantum groups with Cowling-Haagerup constant equal to 1 is again equal to 1.