65 citations · 379 across the 38 of their papers we have counts for
13 papers · 1 filter
De Finetti Theorems for the Unitary Dual Group
Isabelle Baraquin, Guillaume Cébron, Uwe Franz +2
We prove several de Finetti theorems for the unitary dual group, also called the Brown algebra. Firstly, we provide a finite de Finetti theorem characterizing -diagonal elements…
Hunt's Formula for and
Uwe Franz, Anna Kula, J. Martin Lindsay +1
We provide a Hunt type formula for the infinitesimal generators of Lévy process on the quantum groups and . In particular, we obtain a decomposition of such gener…
Invariant Markov semigroups on quantum homogeneous spaces
Biswarup Das, Uwe Franz, Xumin Wang
Invariance properties of linear functionals and linear maps on algebras of functions on quantum homogeneous spaces are studied, in particular for the special case of expected coide…
Monotone Increment Processes, Classical Markov Processes, and Loewner Chains
Uwe Franz, Takahiro Hasebe, Sebastian Schleißinger
We prove one-to-one correspondences between certain decreasing Loewner chains in the upper half-plane, a special class of real-valued Markov processes, and quantum stochastic proce…
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…