Discrete cores of type III free product factors

We give a general description of the discrete decompositions of type III factors arising as central summands of free product von Neumann algebras based on our previous works. This enables us to give several precise structural results on type III free product factors.Comment: Expanded versio

On type III_1 factors arising as free products

Type III_1 factors arising as (direct summands of) von Neumann algebraic free products are investigated. In particular we compute Connes' Sd- and tau- invariants for those type III_1 factors without any extra assumption.Comment: 10 pages, "almost" final version; to appear in Math. Res. Let

Some analysis on amalgamated free products of von Neumann algebras in non-tracial setting

Several techniques together with some partial answers are given to the questions of factoriality, type classification and fullness for amalgamated free product von Neumann algebras.Comment: 3rd version; no essential change; typos correcte

Factoriality, type classification and fullness for free product von Neumann algebras

We give a complete answer to the questions of factoriality, type classification and fullness for arbitrary free product von Neumann algebras.Comment: 20 pages; to appear in Adv. Mat