58 citations · 191 across the 29 of their papers we have counts for
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math.OA2010★ 2 cited
Hypercontractivity on the -Araki-Woods algebras
Hun Hee Lee, Éric Ricard
Extending a work of Carlen and Lieb, Biane has obtained the optimal hypercontractivity of the -Ornstein-Uhlenbeck semigroup on the -deformation of the free group algebra. In…
math.OA2010★ 58 cited
Approximation properties and absence of Cartan subalgebra for free Araki-Woods factors
Cyril Houdayer, Eric Ricard
We show that all the free Araki-Woods factors have the complete metric approximation property. Using Ozawa-Popa's techniques, we then prove that every nonamenable s…