# Representations of the Orlicz Figa-Talamanca Herz Algebras and Spectral subspaces

## TL;DR

This paper characterizes non-degenerate *-representations of Orlicz Figa-Talamanca Herz algebras and explores spectral subspaces linked to Banach space representations, advancing understanding of their structure and spectral properties.

## Contribution

It provides a new characterization of *-representations of A_ au(G) and B_ au(G), and analyzes spectral subspaces in this context, which was not previously established.

## Key findings

- Characterization of non-degenerate *-representations of A_ au(G) and B_ au(G)
- Analysis of spectral subspaces associated with Banach space representations
- Enhanced understanding of the structure of Orlicz Figa-Talamanca Herz algebras

## Abstract

Let G be a locally compact group. In this note, we characterise non-degenerate *-representations of A_\Phi(G) and B_\Phi(G). We also study spectral subspaces associated to a non-degenerate Banach space representation of A_\Phi(G).