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We show that the tensor product $A\otimes B$ over $\mathbb{C}$ of two $C^*$-algebras satisfying the \textit{NCDL} conditions has again the same property.We use this result to describe the $C^* $-algebra of the Heisenberg motiongroups $G_n = \mathbb{T}^n \ltimes \mathbb{H}_n$ as algebra of operator fieldsdefined over the spectrum of $G_n $.

Tensor products of NCDL-C*-algebras and the C*-algebra of the Heisenberg motion groups

Tensor products of NCDL-C-algebras and the C-algebra of the Heisenberg motion groups