Geodesic
Embedding polydisk algebras into the disk algebra and an application to stable ranks
Raymond Mortini1
1 Département de Mathématiques Institut Élie Cartan de Lorraine UMR 7502 Île du Saulcy F-57045 Metz, France
Annales Polonici Mathematici, Tome 112 (2014) no. 3, pp. 217-221 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 
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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

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