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Cones arising from C*-subalgebras and complete positivity

Published online by Cambridge University Press:  01 July 2008

FLORIN POP  and
ROGER R. SMITH
FLORIN POP
Affiliation:
Department of Mathematics, and Computer Science, Wagner College, Staten Island, NY 10301U.S.A.
ROGER R. SMITH
Affiliation:
Department of Mathematics, Texas A&M University, College Station, TX 77843U.S.A.
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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 conesThese 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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References

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