Embedding polydisk algebras into the disk algebra and an application to stable ranks

Raymond Mortini

Annales Polonici Mathematici (2014)

  • Volume: 112, Issue: 3, page 217-221
  • ISSN: 0066-2216

Abstract

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It is shown how to embed the polydisk algebras (finite and infinite ones) into the disk algebra A(𝔻̅). As a consequence, one obtains uniform closed subalgebras of A(𝔻̅) which have arbitrarily prescribed stable ranks.

How to cite

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Raymond Mortini. "Embedding polydisk algebras into the disk algebra and an application to stable ranks." Annales Polonici Mathematici 112.3 (2014): 217-221. <http://eudml.org/doc/280151>.

@article{RaymondMortini2014,
abstract = {It is shown how to embed the polydisk algebras (finite and infinite ones) into the disk algebra A(𝔻̅). As a consequence, one obtains uniform closed subalgebras of A(𝔻̅) which have arbitrarily prescribed stable ranks.},
author = {Raymond Mortini},
journal = {Annales Polonici Mathematici},
keywords = {subalgebras of the disk algebra; polydisk algebra; infinite polydisk; bass stable rank; topological stable rank},
language = {eng},
number = {3},
pages = {217-221},
title = {Embedding polydisk algebras into the disk algebra and an application to stable ranks},
url = {http://eudml.org/doc/280151},
volume = {112},
year = {2014},
}

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
VL - 112
IS - 3
SP - 217
EP - 221
AB - It is shown how to embed the polydisk algebras (finite and infinite ones) into the disk algebra A(𝔻̅). As a consequence, one obtains uniform closed subalgebras of A(𝔻̅) which have arbitrarily prescribed stable ranks.
LA - eng
KW - subalgebras of the disk algebra; polydisk algebra; infinite polydisk; bass stable rank; topological stable rank
UR - http://eudml.org/doc/280151
ER -

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