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math.OA2008★ 1 cited
A Morita theorem for dual operator algebras
Upasana Kashyap
We prove that two dual operator algebras are weak Morita equivalent if and only if they have equivalent categories of dual operator modules via completely contractive functors…
math.OA2007★ 2 cited
A characterization and a generalization of W*-modules
David P. Blecher, Upasana Kashyap
We give a new Banach module characterization of -modules, also known as selfdual Hilbert -modules over a von Neumann algebra. This leads to a generalization of the notion…
math.OA2007★ 1 cited
Morita equivalence of dual operator algebras
David P. Blecher, Upasana Kashyap
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 ne…