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Cones arising from C*-subalgebras and complete positivity
Published online by Cambridge University Press: 01 July 2008
Abstract
Let B ⊆ A be an inclusion of C*-algebras. Then B is said to norm A if, for each X ∈ (A), In this paper we introduce and study the cones These are shown to coincide with the standard positive cones precisely when B norms A, and we apply this to obtain automatic complete positivity of certain positive maps between C*-algebras.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 145 , Issue 1 , July 2008 , pp. 121 - 127
- Copyright
- Copyright © Cambridge Philosophical Society 2008
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