Embedding polydisk algebras into the disk algebra and an application to stable ranks
Volume 112 / 2014
Annales Polonici Mathematici 112 (2014), 217-221
MSC: Primary 46J15; Secondary 32A38, 30H05, 54C40.
DOI: 10.4064/ap112-3-1
Abstract
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.
