The Gauge Group and Perturbation Semigroup of an Operator System

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Author: Dong, Rui
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211727
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Gauge Group and Perturbation Semigroup of an Operator System. Rui Dong. SIGMA 18 (2022), 060, 18 pages

The perturbation semigroup was first defined in the case of ∗-algebras by Chamseddine, Connes, and van Suijlekom. In this paper, we take as a concrete operator system with a unit. We first define the gauge group () of . After that, we define the perturbation semigroup of and the closed perturbatio...