On weak boundary representations and quasi hyperrigidity for operator systems

Autor: Arunkumar, C. S., Vijayarajan, A. K.
Zdroj: The Journal of Analysis; September 2022, Vol. 30 Issue: 3 p1219-1227, 9p
Abstrakt: Let Abe a unital C∗-algebra and Sbe an operator system in A. It is shown that, an irreducible representation πof Ais a weak boundary representation for Sif and only if its n-amplification π(n)is a weak boundary representation for the operator system Mn(S)for any n≥2. Also, we deduce that the operator system Sis quasi hyperrigid in Aif and only if the operator system Mn(S)is quasi hyperrigid in Mn(A)for any n≥2.
Databáze: Supplemental Index