The C*-algebra of the variable Mautner group

TL;DR

This paper characterizes the C*-algebra of a variable Mautner group as an algebra of operator fields over a specific base space, providing a detailed structural description.

Contribution

It provides a novel description of the C*-algebra of the variable Mautner group using operator fields over a parameter space.

Findings

Explicit description of $C^*(\M)$ as an algebra of operator fields.

Structural insights into the C*-algebra associated with variable Mautner groups.

Framework for analyzing similar groups via operator fields.

Abstract

Let $\M=P\times{M}$ be a variable Mautner group. We describe the $C^*$-algebra $C^*(\M)$ of $\M$ in terms of an algebra of operator fields defined over $P\times{\C^2} $.