On commutative and non-commutative C*-algebras with the approximate n-th root property

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dc.creatorChigogidze, A.
dc.creatorKarasev, A.
dc.creatorKawamura, K.
dc.creatorValov, V.
dc.date2005-03-07
dc.date2005-03-07
dc.date.accessioned2026-07-07T05:17:45Z
dc.date.available2026-07-07T05:17:45Z
dc.descriptionWe say that a C*-algebra X has the approximate n-th root property (n\geq 2) if for every a\in X with ||a||\leq 1 and every ε>0 there exits b\in X such that ||b||\leq 1 and ||a-b^n||<ε. Some properties of commutative and non-commutative C*-algebras having the approximate n-th root property are investigated. In particular, it is shown that there exists a non-commutative (resp., commutative) separable unital C*-algebra X such that any other (commutative) separable unital C*-algebra is a quotient of X. Also we illustrate a commutative C*-algebra, each element of which has a square root such that its maximal ideal space has infinitely generated first Cech cohomology.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0503130
dc.identifierhttp://arxiv.org/abs/math/0503130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74421
dc.subjectOperator Algebras
dc.subjectGeneral Topology
dc.subject46L85; 54C40
dc.titleOn commutative and non-commutative C*-algebras with the approximate n-th root property
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