Equivalence bimodule between non-commutative tori

The non-commutative torus C* (Z(n), omega) is realized as the C*-algebra of sections of a locally trivial C*-algebra bundle over (S) over cap (omega) with fibres isomorphic to C* (Z(n)/S-omega, omega(1)) for a totally skew multiplier omega(1 o)n Z(n)/S-omega. D. Poguntke [9] proved that A(omega) is stably isomorphic to C((S) over cap (omega)) circle times C* (Z(n)/S-omega, omega(1)) congruent to C((S) over cap (omega)) circle times A(rho) circle times M-kl (C) for asimple non-commutative torus A(rho) and an integer kl. It is well-known that a stable isomorphism of two separable C*-algebras is equivalent to,the existence of equivalence bimodule between them. We construct an A(omega)-C((S) over cap (omega)) circle times A(rho)-equivalence bimodule.