6 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…
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…
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…
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…