Abstract
We study the question when for a given *-algebra A a sequence of cones Cn Mn(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) |
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Pages (from-to) | 1203-1218 |
Number of pages | 16 |
Journal | Indiana University Mathematics Journal |
Volume | 58 |
Issue number | 3 |
DOIs | |
State | Published - 2009 |
Keywords
- -algebra
- Archimedean order
- Faithful representation
- Operator system
ASJC Scopus subject areas
- Mathematics(all)