A MINIMAL COMPLETION THEOREM AND ALMOST EVERYWHERE EQUIVALENCE FOR COMPLETELY POSITIVE MAPS

Authors

B. V.Rajarama Bhat, Indian Statistical Institute Bangalore
Arghya Chongdar, Indian Statistical Institute Bangalore

Article Type

Research Article

Publication Title

Proceedings of the American Mathematical Society

Abstract

A problem of completing a linear map on C^∗-algebras to a completely positive map is analyzed. It is shown that whenever such a completion is feasible there exists a unique minimal completion. This theorem is used to show that under some very general conditions a completely positive map almost everywhere equivalent to a quasi-pure map is actually equal to that map.

First Page

4703

Last Page

4715

DOI

10.1090/proc/16921

Publication Date

11-1-2024

Comments

Open Access; Green Open Access; Hybrid Gold Open Access

Recommended Citation

Bhat, B. V.Rajarama and Chongdar, Arghya, "A MINIMAL COMPLETION THEOREM AND ALMOST EVERYWHERE EQUIVALENCE FOR COMPLETELY POSITIVE MAPS" (2024). Journal Articles. 4542.
https://digitalcommons.isical.ac.in/journal-articles/4542