The $$C^*$$-algebra of the variable Mautner group

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