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

Abstract

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.

3rd version; no essential change; typos corrected

Cited by in corpus (8)

• Unique prime factorization and bicentralizer problem for a class of type III factors
• Amalgamated free product type III factors with at most one Cartan subalgebra
• Asymptotic structure of free product von Neumann algebras
• Rigidity of free product von Neumann algebras
• Tensor product decompositions of II${}_1$ factors arising from extensions of amalgamated free product groups
• A characterization of fullness of continuous cores of type III${}_1$ free product factors
• Factoriality, Connes' type III invariants and fullness of amalgamated free product von Neumann algebras
• On the geometry of von Neumann algebra preduals