Asymptotic Stability I : Completely Positive Maps

  title={Asymptotic Stability I : Completely Positive Maps},
  author={William Arveson},
We show that for every “locally finite” unit-preserving completely positive map P acting on a C∗-algebra, there is a corresponding ∗-automorphism α of another unital C∗-algebra such that the two sequences P, P , P , . . . and α, α, α, . . . have the same asymptotic behavior. The automorphism α is uniquely determined by P up to conjugacy. Similar results hold for normal completely positive maps on von Neumann algebras, as well as for one-parameter semigroups. These results are operator algebraic… CONTINUE READING

From This Paper

Topics from this paper.


Publications citing this paper.


Publications referenced by this paper.
Showing 1-10 of 14 references

The capacity of hybrid quantum memory

IEEE Trans. Information Theory • 2003

A Short Course on Spectral Theory, volume 209 of Graduate Texts in Mathematics

W. Arveson

C∗-algebras and W ∗-algebras

S. Sakai
Classics in Mathematics. SpringerVerlag, New York, • 1998

Abstract Harmonic Analysis I, volume 115 of Grund

E. Hewitt, K. Ross
math. Wiss. Springer-Verlag, • 1979

Injectivity and operator spaces

M.-D. Choi, E. Effros
J. Funct. Anal., • 1977

Entropy of automorphisms of II1 von neumann algebras

A. Connes, E. Størmer
Acta Math, • 1975

Similar Papers

Loading similar papers…