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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.
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 -