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A characterization of Morita equivalence pairs

I. G. Todorov
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Abstract

We characterize the pairs of operator spaces which occur as pairs of Morita equivalence bimodules between non-selfadjoint operator algebras in terms of the mutual relation between the spaces. We obtain a characterization of the operator spaces which are completely isometrically isomorphic to imprimitivity bimodules between some strongly Morita equivalent (in the sense of Rieffel) C*-algebras. As corollaries, we give representation results for such operator spaces.

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I. G. Todorov. 2002-02-18. A characterization of Morita equivalence pairs. https://arxiv.org/abs/math/0202169

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