45 citations · 83 across the 21 of their papers we have counts for
23 papers
Simplicity of q-Gaussian C*-algebras
Tattwamasi Amrutam, David Jekel, Mateusz Wasilewski
We show that q-Gaussian -algebras for have the Dixmier averaging property, and hence are simple with a unique trace. We argue by combining rapid decay and spec…
Separable neighbourhood of identity in C-algebras
Mizanur Rahaman, Mateusz Wasilewski
We study the structure of separable elements in bipartite C-algebras, focusing on the existence and size of a separable neighbourhood around the identity element. While th…
Connectivity for quantum graphs via quantum adjacency operators
Kristin Courtney, Priyanga Ganesan, Mateusz Wasilewski
Connectivity is a fundamental property of quantum graphs, previously studied in the operator system model for matrix quantum graphs and via graph homomorphisms in the quantum adjac…
A quantum Frucht's theorem and quantum automorphisms of quantum Cayley graphs
Michael Brannan, Daniel Gromada, Junichiro Matsuda +2
We establish a quantum version of Frucht's Theorem, proving that every finite quantum group is the quantum automorphism group of an undirected finite quantum graph. The constructio…
KMS states on quantum Cuntz-Krieger algebras
Manish Kumar, Mateusz Wasilewski
We study the KMS states on local quantum Cuntz-Krieger algebras associated to quantum graphs. Using their isomorphism to the Cuntz-Pimsner algebra of the quantum edge correspondenc…
On quantum Cayley graphs
Mateusz Wasilewski
We clarify the correspondence between the two approaches to quantum graphs: via quantum adjacency matrices and via quantum relations. We show how the choice of a (possibly non-trac…
Full solution of the factoriality question for -Araki-Woods von Neumann algebras via conjugate variables
Manish Kumar, Adam Skalski, Mateusz Wasilewski
We establish factoriality of -Araki-Woods von Neumann algebras (with the number of generators at least two) in full generality, exploiting the approach via conjugate variables d…
On the isomorphism class of -Gaussian W-algebras for infinite variables
Martijn Caspers
Let be the -Gaussian von Neumann algebra associated with a separable infinite dimensional real Hilbert space where . We show t…
Quantum edge correspondences and quantum Cuntz-Krieger algebras
Michael Brannan, Mitch Hamidi, Lara Ismert +2
Given a quantum graph , we define a C*-correspondence over the noncommutative vertex C*-algebra , called the quantum edge correspondence. Fo…
On the isomorphism class of -Gaussian C-algebras for infinite variables
Matthijs Borst, Martijn Caspers, Mario Klisse +1
For a real Hilbert space and Bozejko and Speicher introduced the C-algebra and von Neumann algebra …
Relative Haagerup property for arbitrary von Neumann algebras
Martijn Caspers, Mario Klisse, Adam Skalski +2
We introduce the relative Haagerup approximation property for a unital, expected inclusion of arbitrary von Neumann algebras and show that if the smaller algebra is finite then the…
Bimodule coefficients, Riesz transforms on Coxeter groups and strong solidity
Matthijs Borst, Martijn Caspers, Mateusz Wasilewski
In deformation-rigidity theory it is often important to know whether certain bimodules are weakly contained in the coarse bimodule. Consider a bimodule over the group algebra $…
On the von Neumann algebra of class functions on a compact quantum group
Jacek Krajczok, Mateusz Wasilewski
We study analogues of the radial subalgebras in free group factors (called the algebras of class functions) in the setting of compact quantum groups. For the free orthogonal quantu…
Random quantum graphs
Alexandru Chirvasitu, Mateusz Wasilewski
We prove a number of results to the effect that generic quantum graphs (defined via operator systems as in the work of Duan-Severini-Winter / Weaver) have few symmetries: for a Zar…
A simple proof of the complete metric approximation property for q-Gaussian algebras
Mateusz Wasilewski
The aim of this note is to give a simpler proof of a result of Avsec, which states that -Gaussian algebras have the complete metric approximation property.
-cohomology, derivations and quantum Markov semi-groups on -Gaussian algebras
Martijn Caspers, Yusuke Isono, Mateusz Wasilewski
We study (quasi-)cohomological properties through an analysis of quantum Markov semi-groups. We construct higher order Hochschild cocycles using gradient forms associated with a qu…
Bigalois extensions and the graph isomorphism game
Michael Brannan, Alexandru Chirvasitu, Kari Eifler +4
We study the graph isomorphism game that arises in quantum information theory from the perspective of bigalois extensions of compact quantum groups. We show that every algebraic qu…
Inversion problem in measure and Fourier-Stieltjes algebras
Przemysław Ohrysko, Mateusz Wasilewski
In this paper we study the inversion problem in measure and Fourier-Stieltjes algebras from qualitative and quantitative point of view extending the results obtained by N. Nikolski…
Spectral theory of Fourier-Stieltjes algebras
Przemysław Ohrysko, Mateusz Wasilewski
In this paper we start studying spectral properties of the Fourier-Stieltjes algebras, largely following Zafran's work on the algebra of measures on a locally compact group. We sho…
On MASAs in -deformed von Neumann algebras
Martijn Caspers, Adam Skalski, Mateusz Wasilewski
We study certain -deformed analogues of the maximal abelian subalgebras of the group von Neumann algebras of free groups. The radial subalgebra is defined for Hecke deformed von…
Complete metric approximation property for -Araki-Woods algebras
Stephen Avsec, Michael Brannan, Mateusz Wasilewski
By adapting an ultraproduct technique of Junge and Zeng, we prove that radial completely bounded multipliers on -Gaussian algebras transfer to -Araki-Woods algebras. As a con…
-Araki-Woods algebras: extension of second quantisation and Haagerup approximation property
Mateusz Wasilewski
We extend the class of contractions for which the second quantisation on -Araki-Woods algebras can be defined. As a corollary, we prove that all -Araki-Woods algebras possess…
Amalgamated direct sums of operator spaces
Mateusz Wasilewski
We consider amalgamated direct sums (and their dual counterparts -- fibre products) of operator spaces and study their behaviour with respect to different quantisations (minimal an…