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Asymmetric invariant sets for completely positive maps on C*-algebras
Published online by Cambridge University Press: 17 April 2009
Abstract
Let A be a noncommutative C*-algebra other than M2(I). We show that there exists a completely positive map φ of norm one on A and an element a ɛ A such that φ(a) = a, φ(a*a) = a*a, but φ(aa*) ≠ aa*.
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- Copyright © Australian Mathematical Society 1986
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