Hyperrigidity III

TL;DR

This paper investigates hyperrigidity in $C^*$-algebras, demonstrating that it can be characterized purely through representations, simplifying the understanding of this property.

Contribution

It shows that hyperrigidity can be characterized solely via representations, removing the need for general unital completely positive maps.

Findings

Hyperrigidity characterized by representations

Simplification of hyperrigidity criteria

Enhanced understanding of $C^*$-algebra properties

Abstract

In this paper, we study hyperrigidity for $C^*$-algebras. We will show that hyperrigidity can be expressed solely in terms of representations, without the need to involve general unital completely positive maps.