Morita equivalence of dual operator algebras

Details Morita equivalence of dual operator algebras Morita equivalence of dual operator algebras

2007-09-05

arxiv.org/abs/0709.0757v3

Mathematics

Operator Algebras

19 pages. Revised to include a more general framework yet, to which all of the results in the first version and most of the pr

Scientific paper

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 $W^*$-algebraic Morita equivalence.

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