16 citations · 64 across the 27 of their papers we have counts for
9 papers · 1 filter
New tensor products of C*-algebras and characterization of type I C*-algebras as rigidly symmetric C*-algebras
Hun Hee Lee, Ebrahim Samei, Matthew Wiersma
We construct several new classes of bifunctors , where is a cross norm completion of for each pair of C*-algebras and . F…
Twisted Fourier(-Stieltjes) spaces and amenability
Hun Hee Lee, Xiao Xiong
The Fourier(-Stieltjes) algebras on locally compact groups are important commutative Banach algebras in abstract harmonic analysis. In this paper we introduce a generalization of t…
Beurling-Fourier algebras of compact quantum groups: characters and finite dimensional representations
Uwe Franz, Hun Hee Lee
In this paper we study weighted versions of Fourier algebras of compact quantum groups. We focus on the spectral aspects of these Banach algebras in two different ways. We first in…
Integration over the quantum diagonal subgroup and associated Fourier-like algebras
Uwe Franz, Hun Hee Lee, Adam Skalski
By analogy with the classical construction due to Forrest, Samei and Spronk we associate to every compact quantum group a completely contractive Banach algebra $A_Δ(\m…
New deformations of Convolution algebras and Fourier algebras on locally compact groups
Hun Hee Lee, SangGyun Youn
In this paper we introduce a new way of deforming convolution algebras and Fourier algebras on locally compact groups. We demonstrate that this new deformation allows us to reveal…
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…
Distance k-graphs of hypercube and q-Hermite polynomials
Hun Hee Lee, Nobuaki Obata
We will prove that some weighted graphs on the distance -graph of hypercubes approximate the -Hermite polynomial of a -gaussian variable by providing an appropriate matrix…
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…
-Chaos
Marius Junge, Hun Hee Lee
We consider the norm estimates for homogeneous polynomials of -gaussian variables (). When the estimates for are essentiall…