38 citations · 135 across the 25 of their papers we have counts for
12 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…
On -tensor products of Cuntz algebras
Alexey Kuzmin, Vasyl Ostrovskyi, Danylo Proskurin +2
We consider the -algebra , which is a -twist of two Cuntz-Toeplitz algebras. For the case , we give an explicit formula which untwists the -d…
Models of quantum permutations
Stefan Jung, Moritz Weber
For we present a series of *-homomorphisms where is the quantum permutation group. They are not necessarily representations of the qu…
Partition quantum spaces
Stefan Jung, Moritz Weber
We propose a definition of partition quantum spaces. They are given by universal -algebras whose relations come from partitions of sets. We ask for the maximal compact matrix…
Partition C*-algebras II - Links to Compact Matrix Quantum Groups
Moritz Weber
In a recent article, we gave a definition of partition C*-algebras. These are universal C*-algebras based on algebraic relations which are induced from partitions of sets. In this…
Partition C*-algebras
Moritz Weber
We give a definition of partition C*-algebras: To any partition of a finite set, we assign algebraic relations for a matrix of generators of a universal C*-algebra. We then prove h…
Quantum Symmetries of Graph C*-Algebras
Simon Schmidt, Moritz Weber
The study of graph C*-algebras has a long history in operator algebras. Surprisingly, their quantum symmetries have never been computed so far. We close this gap by proving that th…
Fixed Point Algebras for Easy Quantum Groups
Olivier Gabriel, Moritz Weber
Compact matrix quantum groups act naturally on Cuntz algebras. The first author isolated certain conditions under which the fixed point algebras under this action are Kirchberg alg…
Absence of algebraic relations and of zero divisors under the assumption of full non-microstates free entropy dimension
Tobias Mai, Roland Speicher, Moritz Weber
We show that in a tracial and finitely generated -probability space existence of conjugate variables excludes algebraic relations for the generators. Moreover, under the as…
Absence of algebraic relations and of zero divisors under the assumption of finite non-microstates free Fisher information
Tobias Mai, Roland Speicher, Moritz Weber
We show that in a tracial and finitely generated -probability space existence of conjugate variables in an appropriate sense exclude algebraic relations for the generators.…
On C*-Algebras Generated by Isometries with Twisted Commutation Relations
Moritz Weber
In the theory of C*-algebras, interesting noncommutative structures arise as deformations of the tensor product. For instance, the rotation algebra may be seen as a scalar twist de…
On the classification of easy quantum groups
Moritz Weber
In 2009, Banica and Speicher began to study the compact quantum subgroups of the free orthogonal quantum group containing the symmetric group S_n. They focused on those whose inter…