Geodesic
Weakly Stable Relations and Inductive Limits of ${{C}^{*}}$ -algebras
Canadian mathematical bulletin, Tome 46 (2003) no. 4, pp. 588-596

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

DOI

We show that if $\mathcal{A}$ is a class of ${{C}^{*}}$ -algebras for which the set of formal relations $\mathcal{R}$ is weakly stable, then $\mathcal{R}$ is weakly stable for the class $B$ that contains $\mathcal{A}$ and all the inductive limits that can be constructed with the ${{C}^{*}}$ -algebras in $\mathcal{A}$ .A set of formal relations $\mathcal{R}$ is said to be weakly stable for a class $\mathcal{C}$ of ${{C}^{*}}$ -algebras if, in any ${{C}^{*}}$ -algebra $A\,\in \,\mathcal{C}$ , close to an approximate representation of the set $\mathcal{R}$ in $A$ there is an exact representation of $\mathcal{R}$ in $A$ .
DOI : 10.4153/CMB-2003-055-4
Mots-clés : 46L05 
Monteiro, Martha Salerno. Weakly Stable Relations and Inductive Limits of ${{C}^{*}}$ -algebras. Canadian mathematical bulletin, Tome 46 (2003) no. 4, pp. 588-596. doi: 10.4153/CMB-2003-055-4
@article{10_4153_CMB_2003_055_4,
     author = {Monteiro, Martha Salerno},
     title = {Weakly {Stable} {Relations} and {Inductive} {Limits} of ${{C}^{*}}$ -algebras},
     journal = {Canadian mathematical bulletin},
     pages = {588--596},
     year = {2003},
     volume = {46},
     number = {4},
     doi = {10.4153/CMB-2003-055-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-055-4/}
}
TY  - JOUR
AU  - Monteiro, Martha Salerno
TI  - Weakly Stable Relations and Inductive Limits of ${{C}^{*}}$ -algebras
JO  - Canadian mathematical bulletin
PY  - 2003
SP  - 588
EP  - 596
VL  - 46
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-055-4/
DO  - 10.4153/CMB-2003-055-4
ID  - 10_4153_CMB_2003_055_4
ER  - 
%0 Journal Article
%A Monteiro, Martha Salerno
%T Weakly Stable Relations and Inductive Limits of ${{C}^{*}}$ -algebras
%J Canadian mathematical bulletin
%D 2003
%P 588-596
%V 46
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-055-4/
%R 10.4153/CMB-2003-055-4
%F 10_4153_CMB_2003_055_4

Cité par Sources :