Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418258 | Journal of Mathematical Analysis and Applications | 2014 | 11 Pages |
Abstract
The concept of a relatively weakly injective pair of operator systems is introduced and studied in this paper, motivated by relative weak injectivity in the C*-algebra category. E. Kirchberg [11] proved that the Câ-algebra Câ(Fâ) of the free group Fâ on countably many generators characterises relative weak injectivity for pairs of Câ-algebras by means of the maximal tensor product. One of the main results of this paper shows that Câ(Fâ) also characterises relative weak injectivity in the operator system category. A key tool is the theory of operator system tensor products [9,10].
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Angshuman Bhattacharya,