2002/05/23 by Massoud Amini, Amini, Massoud
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.OA
paper · pdf · doi:10.48550/arxiv.math/0205257
23 pages
arxiv created 2002/05/23 · openalex publication_date 2002/05/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Starting with a W*-algebra M we use the inverse system obtained by cutting down M by its (central) projections to define an inverse limit of W*-algebras, and show that how this pro-W*-algebra encodes the local structure of M. For the C*-algebras we do the same thing using their atomic enveloping W*-algebra . We investigate the relation of these ideas to the Akemann-Giles-Kummer non commutative topology. Finally we use these ideas to look at the local structure of Kac algebras.