From the 1 of 8 linked papers with an AI index.
8 papers
Quantum isometry groups of log-Laplacians on Cuntz--Krieger algebras
Amaury Freslon, Dimitris Michail Gerontogiannis, Adam Skalski
The paper determines the quantum isometry groups of Cuntz‑Krieger algebras equipped with spectral triples derived from the Ahlfors‑regular structure of the underlying topological M…
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…
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…
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…
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…
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…