Hilbert $C^{\ast }$-bimodules over commutative $C^{\ast }$-algebras and an isomorphism condition for quantum Heisenberg manifolds

A study of Hilbert $C^{\ast }$-bimodules over commutative $C^{\ast }$-algebras is carried out and used to establish a sufficient condition for two quantum Heisenberg manifolds to be isomorphic.