Factoriality, Connes' type III invariants and fullness of amalgamated free product von Neumann algebras

摘要

We investigate factoriality, Connes' type ${m III}$ invariants and fullnessof arbitrary amalgamated free product von Neumann algebras using Popa'sdeformation/rigidity theory. Among other things, we generalize many previousstructural results on amalgamated free product von Neumann algebras and weobtain new examples of full amalgamated free product factors for which we canexplicitely compute Connes' type ${m III}$ invariants.