Peripherally automorphic unital completely positive maps

Authors

B. V. Rajarama Bhat, Indian Statistical Institute Bangalore
Samir Kar, Indian Statistical Institute Bangalore
Bharat Talwar, Nazarbayev University

Article Type

Research Article

Publication Title

Linear Algebra and Its Applications

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.

First Page

191

Last Page

205

DOI

https://10.1016/j.laa.2023.08.020

Publication Date

12-1-2023

Comments

Open Access, Green

Recommended Citation

Rajarama Bhat, B. V.; Kar, Samir; and Talwar, Bharat, "Peripherally automorphic unital completely positive maps" (2023). Journal Articles. 3475.
https://digitalcommons.isical.ac.in/journal-articles/3475