Geodesic
Exact structures for operator modules
Canadian journal of mathematics, Tome 75 (2023) no. 2, pp. 421-446

Voir la notice de l'article provenant de la source Cambridge

DOI

We demonstrate how exact structures can be placed on the additive category of right operator modules over an operator algebra in order to discuss global dimension for operator algebras. The properties of the Haagerup tensor product play a decisive role in this.
DOI : 10.4153/S0008414X22000037
Mots-clés : Cohomological dimension, injective object, C*-algebra, operator module, exact structures 
Mathieu, Martin; Rosbotham, Michael. Exact structures for operator modules. Canadian journal of mathematics, Tome 75 (2023) no. 2, pp. 421-446. doi: 10.4153/S0008414X22000037
@article{10_4153_S0008414X22000037,
     author = {Mathieu, Martin and Rosbotham, Michael},
     title = {Exact structures for operator modules},
     journal = {Canadian journal of mathematics},
     pages = {421--446},
     year = {2023},
     volume = {75},
     number = {2},
     doi = {10.4153/S0008414X22000037},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X22000037/}
}
TY  - JOUR
AU  - Mathieu, Martin
AU  - Rosbotham, Michael
TI  - Exact structures for operator modules
JO  - Canadian journal of mathematics
PY  - 2023
SP  - 421
EP  - 446
VL  - 75
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X22000037/
DO  - 10.4153/S0008414X22000037
ID  - 10_4153_S0008414X22000037
ER  - 
%0 Journal Article
%A Mathieu, Martin
%A Rosbotham, Michael
%T Exact structures for operator modules
%J Canadian journal of mathematics
%D 2023
%P 421-446
%V 75
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008414X22000037/
%R 10.4153/S0008414X22000037
%F 10_4153_S0008414X22000037

Cité par Sources :