2013/10/14 by Ulrich Haag, Haag, Ulrich
Mathematics · #46L07 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.1310.3636
openalex publication_date 2013/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The article exhibits certain relations between the injective envelope I(A) of a C*-algebra A and the von Neumann algebra generated by a representation lambda of A provided it is injective. More specifically we show that there exist positive retractions sigma : /lambda (A)'' ---> I(A) which are close to being *-homomorphisms in the sense that they are Jordan homomorphisms of the underlying Jordan algebras, and the kernel of /sigma is given by a twosided ideal.