JC-Triples and Inner Ideals in Universally Reversible JC-Algebras

JC-Triples and Inner Ideals in Universally Reversible JC-Algebras

It is shown that a JC*-triple whose Cartan factor representations all have rank greater than two has a composition series in which successive quotients are isomorphic to inner ideals in a universally reversible JC*-algebra.

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Veröffentlicht in:Quarterly journal of mathematics 2005-09, Vol.56 (3), p.397-402
1. Verfasser: Steptoe, Ann C. P.
Format: Artikel
Sprache:eng
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Zusammenfassung:It is shown that a JC*-triple whose Cartan factor representations all have rank greater than two has a composition series in which successive quotients are isomorphic to inner ideals in a universally reversible JC*-algebra.
ISSN:0033-5606
1464-3847
DOI:10.1093/qmath/hah042