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math.OA2023★ 2 cited
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…
math.OA2023★ 11 cited
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…