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 $(M,\phi )=(M_1,{\phi }_1)\ast (M_2,{\phi }_2)$ of non-trivial von Neumann algebras. Using amalgamated free product techniques, we establish irreducibility and weak spectral…