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

Abstract

We show that the tensor product A ⊗ B over C of two C * -algebras satisfying the NCDL conditions has again the same property. We use this result to describe the C * -algebra of the Heisenberg motion groups Gn = T n ⋉ Hn as algebra of operator fields defined over the spectrum of Gn.