Embedding polydisk algebras into the disk algebra and an application to stable ranks
Annales Polonici Mathematici, Tome 112 (2014) no. 3, pp. 217-221.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

It is shown how to embed the polydisk algebras (finite and infinite ones) into the disk algebra $A(\overline {\mathbb {D}})$. As a consequence, one obtains uniform closed subalgebras of $A(\overline {\mathbb {D}})$ which have arbitrarily prescribed stable ranks.
DOI : 10.4064/ap112-3-1
Keywords: shown embed polydisk algebras finite infinite disk algebra overline mathbb consequence obtains uniform closed subalgebras overline mathbb which have arbitrarily prescribed stable ranks

Raymond Mortini 1

1 Département de Mathématiques Institut Élie Cartan de Lorraine UMR 7502 Île du Saulcy F-57045 Metz, France
@article{10_4064_ap112_3_1,
     author = {Raymond Mortini},
     title = {Embedding polydisk algebras into the disk algebra
 and an application to stable ranks},
     journal = {Annales Polonici Mathematici},
     pages = {217--221},
     publisher = {mathdoc},
     volume = {112},
     number = {3},
     year = {2014},
     doi = {10.4064/ap112-3-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap112-3-1/}
}
TY  - JOUR
AU  - Raymond Mortini
TI  - Embedding polydisk algebras into the disk algebra
 and an application to stable ranks
JO  - Annales Polonici Mathematici
PY  - 2014
SP  - 217
EP  - 221
VL  - 112
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap112-3-1/
DO  - 10.4064/ap112-3-1
LA  - en
ID  - 10_4064_ap112_3_1
ER  - 
%0 Journal Article
%A Raymond Mortini
%T Embedding polydisk algebras into the disk algebra
 and an application to stable ranks
%J Annales Polonici Mathematici
%D 2014
%P 217-221
%V 112
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap112-3-1/
%R 10.4064/ap112-3-1
%G en
%F 10_4064_ap112_3_1
Raymond Mortini. Embedding polydisk algebras into the disk algebra
 and an application to stable ranks. Annales Polonici Mathematici, Tome 112 (2014) no. 3, pp. 217-221. doi : 10.4064/ap112-3-1. http://geodesic.mathdoc.fr/articles/10.4064/ap112-3-1/

Cité par Sources :