Please use this identifier to cite or link to this item: http://hdl.handle.net/10016/6852

 Google™ Scholar. Others By: Baumgärtel, Hellmut - Lledó, Fernando
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 Title: Superselection structures for C*-algebras with nontrivial center Author(s): Baumgärtel, HellmutLledó, Fernando Publisher: World Scientific Publishing Issued date: 1997 Citation: Reviews in Mathematical Physics, 1997, vol. 9, n. 7, p. 785-819 URI: http://hdl.handle.net/10016/6852 ISSN: 0129-055X (Print)1793-6659 (Online) DOI: 10.1142/S0129055X97000282 Description: 35 pages, no figures.-- MSC2000 codes: 46L05, 46L60.MR#: MR1475657 (99g:46097)Zbl#: Zbl 0893.46046 Abstract: We present and prove some results within the framework of Hilbert C*-systems $\{{\cal F},{\cal G}\}$ with a compact group ${\cal G}$. We assume that the fixed point algebra ${\cal A}\subset{\cal F}$ of ${\cal G}$ has a nontrivial center ${\cal Z}$ and its relative commutant w.r.t. ${\cal F}$ coincides with ${\cal Z}$, i.e., we have ${\cal A}'\cap{\cal F}= {\cal Z}\supset\bbfC\text{\bf 1}$. In this context, we propose a generalization of the notion of an irreducible endomorphism and study the behaviour of such irreducibles w.r.t. ${\cal Z}$. Finally, we give several characterizations of the stabilizer of ${\cal A}$. Review: PeerReviewed Publisher version: http://dx.doi.org/10.1142/S0129055X97000282 Keywords: Hilbert C*-systemsCompact groupNontrivial centerRelative commutantIrreducible endomorphismCharacterizations of the stabilizer Rights: © World Scientific Publishing Appears in Collections: DM - GAMA - Artículos de Revistas