A characterization of Morita equivalence pairs

Details A characterization of Morita equivalence pairs A characterization of Morita equivalence pairs

2002-02-18

arxiv.org/abs/math/0202169v1

Mathematics

Operator Algebras

14 pages

Scientific paper

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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