Rahul Kumar

activity

20242026

collaborators

Showing math.OAShow all

2 papers · 1 filter

math.OA2026

Irreducibility and weak spectral gap in free product von Neumann algebras

Aldo Garcia Guinto, Fehmi Ekin Giritlioglu, Rahul Kumar R. +2

Consider a free product $(M, φ) = (M_{1}, φ_{1}) * (M_{2}, φ_{2})$ of non-trivial von Neumann algebras. Using amalgamated free product techniques, we establish irreducibility and weak spectral…

math.OA2024

Operator-Valued Twisted Araki-Woods Algebras

Rahul Kumar R, Melchior Wirth

We introduce operator-valued twisted Araki-Woods algebras. These are operator-valued versions of a class of second quantization algebras that includes $q$ -Gaussian and $q$ -Araki-Wo…