Note on Mixed Skew Product on Factor von Neumann Algebras
Abstract
Let W and V be von Neumann algebras. For F,G ∈W, define [F,G]⋆ = F⋆G− GF and F ⋄G = F⋆G+GF. This manuscript investigates a bijective mapping Φ :W →V satisfying Φ([F,G]⋆) = Φ(G) ⋄Φ(F) for all F,G ∈W. We examine the properties of Φ, demonstrate its additivity, and characterize when Φ is a linear ⋆-ring isomorphism or the negative of a conjugate linear ⋆-isomorphism.
Fields of Study & Subjects
Advanced Operator Algebra Research
Advanced Topics in Algebra
Rings
Modules
and Algebras
Publication details
- Journal / source
- CRC Press eBooks
- Pages
- 157–169
- Publication date
- 23 February 2026
- Language
- EN
- Document type
- Book chapter