Peripherally automorphic unital completely positive maps
Rajarama Bhat B.V. Kar S. Talwar B.
1 December 2023Elsevier Inc.
Linear Algebra and Its Applications
2023#678191 - 205 pp.
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.
Multiplicative domain , Peripheral spectrum , Unital completely positive maps
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Indian Statistical Institute, Stat Math Unit, R V College Post, Bengaluru, 560059, India
Department of Mathematics, Nazarbayev University, Astana, 010000, Kazakhstan
Indian Statistical Institute
Department of Mathematics
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