C*-algebras of infinite real rank

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dc.creatorChigogidze, A.
dc.creatorValov, V.
dc.date2002-05-14
dc.date.accessioned2026-07-07T04:48:28Z
dc.date.available2026-07-07T04:48:28Z
dc.descriptionWe introduce the notion of weakly (strongly) infinite real rank for unital $C^{\ast}$-algebras. It is shown that a compact space $X$ is weakly (strongly) infine-dimensional if and only if $C(X)$ has weakly (strongly) infinite real rank. Some other properties of this concept are also investigated. In particular, we show that the group $C^{\ast}$-algebra $C^{\ast}({\mathbb F}_{\infty})$ of the free group on countable number of generators has strongly infinite real rank.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0205142
dc.identifierhttp://arxiv.org/abs/math/0205142
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64060
dc.subjectGeneral Topology
dc.subjectFunctional Analysis
dc.subject54F45, 46L05
dc.titleC*-algebras of infinite real rank
dc.typetext

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