Order units in aC* -algebra

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Feb 2003Embargo end date: 01 Jan 2003 English Publisher:Springer Science and Business Media LLCJournal:Proceedings Mathematical Sciences, volume 113, pages 65-69 (issn: 0253-4142, eissn: 0973-7685,

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Authors: Karn, Anil K.;

doi: 10.1007/bf02829679 , 10.48550/arxiv.math/0312120

arXiv: math/0312120

Order units in aC* -algebra

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Abstract

Order unit property of a positive element in a $C^{*}$-algebra is defined. It is proved that precisely projections satisfy this order theoretic property. This way, unital hereditary $C^{*}$-subalgebras of a $C^{*}$-algebra are characterized.

5 pages, no figures, no tables

Keywords

General theory of $C^*$-algebras, order unit property, Mathematics - Operator Algebras, FOS: Mathematics, $C^*$-algebra, Operator Algebras (math.OA)

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