The Stable Rank of Topological Algebras and a Problem of R.G. Swan

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dc.creatorBadea, C.
dc.date1998-06-26
dc.date.accessioned2026-07-07T05:25:12Z
dc.date.available2026-07-07T05:25:12Z
dc.descriptionVarious notions of stable ranks are studied for topological algebras. Some partial answers to R.G. Swan's problem (Have two Banach or good Fréchet algebras as in the density theorem in K-theory the same stable rank ?) are obtained. For example, a Fréchet dense $\ast$-subalgebra $A$ of a $C^\ast$-algebra $B$, closed under $C^\infty$-functional calculus of self-adjoint elements, has the same Bass stable rank as $B$.
dc.descriptionAMS-LaTeX, 29 pages, submitted to J. Funct. Anal
dc.identifierhttps://arxiv.org/abs/math/9806145
dc.identifierhttp://arxiv.org/abs/math/9806145
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77094
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.titleThe Stable Rank of Topological Algebras and a Problem of R.G. Swan
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