Can a finite (by finite I mean when the projection $1$ is finite) von Neumann algebra be strongly morita equivalent to a properly infinite von Neumann algebra?

(Strong morita equivalence is the same as Morita equivalence as a ring for $C^*$-algebras according to theorem on page 253 of http://tinyurl.com/kcp2edx, see remark 1.5 for definition of strong Morita equivalence)