On Convolution Products and Automorphisms in Hopf C*-algebras

TL;DR

This paper characterizes bi-inner Hopf *-automorphisms in finite-dimensional Hopf C*-algebras by analyzing convolution product structures, providing new insights into their automorphism structure.

Contribution

It introduces two new characterizations of bi-inner Hopf *-automorphisms based on convolution product analysis in finite-dimensional Hopf C*-algebras.

Findings

Two characterizations of bi-inner Hopf *-automorphisms

Analysis of convolution product structures

Enhanced understanding of automorphism structures in Hopf C*-algebras

Abstract

We obtain two characterizations of the bi-inner Hopf *-automorphisms of a finite-dimensional Hopf C*-algebra, by means of an analysis of the structure of convolution products in this class of Hopf C*-algebra.