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Change of base for operator space modules.

Authors :
Rosbotham, Michael
Source :
Archiv der Mathematik; 2021, Vol. 116 Issue 1, p67-78, 12p
Publication Year :
2021

Abstract

We prove a change of base theorem for operator space modules over C*-algebras, analogous to the change of rings for algebraic modules. We demonstrate how this can be used to show that the category of (right) matrix normed modules and completely bounded module maps has enough injectives. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0003889X
Volume :
116
Issue :
1
Database :
Complementary Index
Journal :
Archiv der Mathematik
Publication Type :
Academic Journal
Accession number :
148231722
Full Text :
https://doi.org/10.1007/s00013-020-01525-5