# The $C^*$-algebra of the Cartan motion groups

## TL;DR

This paper characterizes the $C^*$-algebra of Cartan motion groups by describing it through operator fields, providing a detailed structural understanding under certain assumptions.

## Contribution

It offers a novel description of the $C^*$-algebra of Cartan motion groups in terms of operator fields, expanding the theoretical framework for these groups.

## Key findings

- Explicit description of $C^*(G_0)$ in terms of operator fields
- Structural insights into the $C^*$-algebra of Cartan motion groups
- Conditions under which the description holds

## Abstract

Let $G_0=K\ltimes\p$ be the Cartan motion groups. Under some assumption on $G_0,$ we describe the $C^*$-algebra $C^*(G_0)$ of $G_0$ in terms of operator fields.