Morita equivalence of dual operator algebras
arXiv:0709.0757
Abstract
We consider a variant of the notion of Morita equivalence appropriate to weak* closed algebras of Hilbert space operators, which we call {\em weak Morita equivalence}. We obtain new variants, appropriate to the dual algebra setting, of the basic theory of strong Morita equivalence, and new nonselfadjoint variants of aspects of Rieffel's -algebraic Morita equivalence.
19 pages. Revised to include a more general framework yet, to which all of the results in the first version and most of the proofs, extend immediately