Asymptotic lifts of positive linear maps

Details Asymptotic lifts of positive linear maps Asymptotic lifts of positive linear maps

2006-11-13

arxiv.org/abs/math/0611401v2

Mathematics

Operator Algebras

13 pages

Scientific paper

We show that the notion of asymptotic lift generalizes naturally to normal
positive maps $\phi$ acting on von Neumann algebras M.
We focus on cases in which the domain of the asymptotic lift can be embedded
as an operator subsystem of M, and characterize when that subsystem is a Jordan
subalgebra of M in terms of the asymptotic multiplicative properties of $\phi$.

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