Matrix ordered operator algebras

Kate Juschenko; Stanislav Popovych

doi:10.1512/iumj.2009.58.3608

Matrix ordered operator algebras

Kate Juschenko^*, Stanislav Popovych

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We study the question when for a given *-algebra A a sequence of cones C_n M_n(A)_sa can be realized as cones of positive operators in a faithful *-representation of A on a Hilbert space. We present a criterion analogous to Effros-Choi abstract characterization of operator systems. A characterization of operator algebras which are completely boundedly isomorphic to C^*-algebras is also presented. Indiana University Mathematics Journal,

Original language	English (US)
Pages (from-to)	1203-1218
Number of pages	16
Journal	Indiana University Mathematics Journal
Volume	58
Issue number	3
DOIs	https://doi.org/10.1512/iumj.2009.58.3608
State	Published - 2009

Keywords

-algebra
Archimedean order
Faithful representation
Operator system

ASJC Scopus subject areas

General Mathematics

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10.1512/iumj.2009.58.3608

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KW - -algebra

KW - Archimedean order

KW - Faithful representation

KW - Operator system

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Matrix ordered operator algebras

Abstract

Keywords

ASJC Scopus subject areas

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