On the topological stable rank of non-selfadjoint operator algebras

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dc.creatorDavidson, K. R.
dc.creatorLevene, R.
dc.creatorMarcoux, L. W.
dc.creatorRadjavi, H.
dc.date2007-06-16
dc.date.accessioned2026-07-07T08:10:41Z
dc.date.available2026-07-07T08:10:41Z
dc.descriptionWe provide a negative solution to a question of M. Rieffel who asked if the right and left topological stable ranks of a Banach algebra must always agree. Our example is found amongst a class of nest algebras. We show that for many other nest algebras, both the left and right topological stable ranks are infinite. We extend this latter result to Popescu's non-commutative disc algebras and to free semigroup algebras as well.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0706.2447
dc.identifierhttp://arxiv.org/abs/0706.2447
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131891
dc.subjectOperator Algebras
dc.subject47A35; 47L75; 19B10
dc.titleOn the topological stable rank of non-selfadjoint operator algebras
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