Ando type dilation for completely contractive covariant representations

TL;DR

This paper explores how isometric covariant representations can be used as dilations of completely contractive covariant representations, advancing the understanding of their structure and relationships.

Contribution

It introduces a dilation theory for completely contractive covariant representations using Ando type dilations, providing new insights into their structure.

Findings

Established a dilation framework for completely contractive covariant representations

Extended Ando type dilation results to a broader class of representations

Provided new structural characterizations of covariant representations

Abstract

The central objective of this article is to investigate such isometric covariant representations that serve as dilations of completely contractive covariant representations.