Note on the group of automorphisms of the Spectral Ball

TL;DR

This paper disproves a conjecture about the automorphism group of the spectral ball, clarifying the structure of these automorphisms in complex analysis.

Contribution

It provides a counterexample to the previously conjectured description of the automorphism group of the spectral ball.

Findings

The conjecture by Ransford and White is false.

The structure of automorphisms of the spectral ball is more complex than previously thought.

The paper clarifies the limitations of existing conjectures in spectral ball automorphisms.

Abstract

It is shown in this short note that the conjecture on the description of the group of automorphism of the spectral ball posed by Ransford and White is false.