Covariant completely positive linear maps between locally C*-algebras

dc.creatorJoita, Maria
dc.date2006-09-05
dc.date.accessioned2026-07-07T07:24:32Z
dc.date.available2026-07-07T07:24:32Z
dc.descriptionWe prove a covariant version of the KSGNS (Kasparov, Stinespring, Gel'fand,Naimark,Segal) construction for completely positive linear maps between locally $C^{*}$-algebras. As an application of this construction, we show that a covariant completely positive linear map $ρ$ from a locally $C^{*}$-algebra $A$ to another locally $C^{*}$ -algebra $B$ with respect to a locally $C^{*}$-dynamical system $(G,A,α)$ extends to a completely positive linear map on the crossed product $A\times_{α^{}}G$.
dc.description13 pages. Houston J. Math. (to appear)
dc.identifierhttps://arxiv.org/abs/math/0609149
dc.identifierhttp://arxiv.org/abs/math/0609149
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116394
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject46L05, 46L08, 46L40
dc.titleCovariant completely positive linear maps between locally C*-algebras
dc.typetext

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