2 papers
math.OA2013
Hypercontractivity in group von Neumann algebras
Marius Junge, Carlos Palazuelos, Javier Parcet +1
In this paper, we provide a combinatorial/numerical method to establish new hypercontractivity estimates in group von Neumann algebras. We will illustrate our method with free grou…
math.OA2012
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…