Peripherally automorphic unital completely positive maps

2023

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DOI 10.1016/j.laa.2023.08.020
Data confidence 70 medium
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Abstract

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.