Representable bimodules over C*-algebras

1998/07/11 by C. Pop, Pop, C.
Mathematics · #FOS: Mathematics #Operator Algebras (math.OA) #math.OA

paper · pdf · doi:10.48550/arxiv.math/9807054

in french, 24 pages, preliminary version

arxiv created 1998/07/11 · arxiv updated 2009/11/30

Abstract

Given two C*-algebras A and B, abstract A-B bimodules that can be isometrically represented as operator bimodules are characterised in terms of their norm. Various properties of such bimodules are given. Their theory is very similar to those of classical normed spaces.

Related

• Regular normed bimodules
• A characterization of Morita equivalence pairs
• *-Bimodules
• Introduction to Normed *-Algebras and their Representations, 7th ed
• Introduction to Normed *-Algebras and their Representations, 6th ed