Matrix Ordered Operator Algebras

Details Matrix Ordered Operator Algebras Matrix Ordered Operator Algebras

2007-04-12

arxiv.org/abs/0704.1553v2

Indiana University Math. Journal Volume 59 No. 3, 2009

Mathematics

Operator Algebras

Scientific paper

We study the question when for a given *-algebra $\mathcal{A}$ a sequence of
cones $C_n\in M_n(\mathcal{A})$ can be realized as cones of positive operators
in a faithful *-representation of $\mathcal{A}$ on a Hilbert space. A
characterization of operator algebras which are completely boundedly isomorphic
to $C\sp*$-algebras is presented.

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