# The structures of Hopf $\ast$-algebra on Radford algebras

## TL;DR

This paper classifies all possible Hopf $\ast$-algebra structures on Radford algebras over the complex numbers, providing explicit descriptions and an equivalence classification.

## Contribution

It explicitly determines and classifies all Hopf $\ast$-structures on Radford algebras over $\mathbb{C}$, a novel comprehensive analysis.

## Key findings

- All $*$-structures on Radford algebras are explicitly characterized.
- Hopf $\ast$-algebra structures are classified up to equivalence.
- Provides a complete description of these structures over $\mathbb{C}$.

## Abstract

We investigate the structures of Hopf $\ast$-algebra on the Radford algebras over $\mathbb {C}$. All the $*$-structures on $H$ are explicitly given. Moreover, these Hopf $*$-algebra structures are classified up to equivalence.