Peripherally automorphic unital completely positive maps
We identify and characterize unital completely positive (UCP) maps on finite dimensional
C⁎-algebras for which the Choi-Effros product extended to the space generated by
peripheral eigenvectors matches with the original product. We analyze a decomposition of
general UCP maps in finite dimensions into persistent and transient parts. It is shown that
UCP maps on finite dimensional C⁎-algebras with spectrum contained in the unit circle
are⁎-automorphisms.
C⁎-algebras for which the Choi-Effros product extended to the space generated by
peripheral eigenvectors matches with the original product. We analyze a decomposition of
general UCP maps in finite dimensions into persistent and transient parts. It is shown that
UCP maps on finite dimensional C⁎-algebras with spectrum contained in the unit circle
are⁎-automorphisms.
We identify and characterize unital completely positive (UCP) maps on finite dimensional C⁎-algebras for which the Choi-Effros product extended to the space generated by peripheral eigenvectors matches with the original product. We analyze a decomposition of general UCP maps in finite dimensions into persistent and transient parts. It is shown that UCP maps on finite dimensional C⁎-algebras with spectrum contained in the unit circle are⁎-automorphisms.
Elsevier