Free subproducts and free scaled products of II₁ factors

2001/05/15 by Ken Dykema, Dykema, Ken
Mathematics · #46L54 #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA) #Random Matrices and Applications #math.OA #msc:46L54

paper · pdf · doi:10.48550/arxiv.math/0105115

30 pages

arxiv created 2001/05/15 · openalex publication_date 2001/05/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The constructions of free subproducts of von Neumann algebras and free scaled products are introduced, and results about them are proved, including rescaling results and results about free trade in free scaled products.

Related

• Some explicit computations and models of free products
• Rescalings of free products of II₁ factors
• A description of amalgamated free products of finite von Neumann algebras over finite dimensional subalgebras
• Free products of finite dimensional and other von Neumann algebras with respect to non-tracial states
• Compressions of free products of von Neumann algebras