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A characterization of Morita equivalence pairs
Published online by Cambridge University Press: 26 February 2003
Extract
We characterize the pairs of operator spaces that 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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- Research Article
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- 2002 Glasgow Mathematical Journal Trust
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