3 citations · 4 across the 7 of their papers we have counts for
8 papers
Periodicity, type factors and free Poisson laws in interacting Fock spaces
Vitonofrio Crismale, Yun Gang Lu, Éric Ricard
We show that the von Neumann algebra generated by position operators in a 2-periodic interacting Fock space is a type factor. On the probabilistic side, we prove that the sq…
Failure of almost uniformly convergence for noncommutative martingales
Guixiang Hong, Éric Ricard
In this paper, we provide a counterexample to show that in sharp contrast to the classical case, the almost uniform convergence may not happen for truly noncommutative -martin…
A Hörmander-Mikhlin multiplier theory for free groups and amalgamated free products of von Neumann algebras
Tao Mei, Éric Ricard, Quanhua Xu
We establish a platform to transfer -completely bounded maps on tensor products of von Neumann algebras to -completely bounded maps on the corresponding amalgamated free…
An extension of inequalities by Ando
Éric Ricard
We give variations on Ando's result comparing and with respect to unitarily invariant norms on matrices.
Operator biflatness of the -algebras of compact quantum groups
Martijn Caspers, Hun Hee Lee, Éric Ricard
We prove that the -algebra of any non-Kac type compact quantum group does not satisfy operator biflatness. Since operator amenability implies operator biflatness, this result…
Hypercontractivity for free products
Marius Junge, Carlos Palazuelos, Javier Parcet +2
In this paper, we obtain optimal time hypercontractivity bounds for the free product extension of the Ornstein-Uhlenbeck semigroup acting on the Clifford algebra. Our approach is b…