Weak exactness and amalgamated free product of von Neumann algebras
arXiv:2403.12833
Abstract
We show that the amalgamated free product of weakly exact von Neumann algebras is weakly exact. This is done by using a universal property of Toeplitz-Pimsner algebras and a locally convex topology on bimodules of von Neumann algebras, which is used to characterize weakly exact von Neumann algebras.
16 pages