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arXiv math/0404316math.OA

Duality of $W^*$-correspondences and applications

Paul S. Muhly, Baruch Solel

英文摘要:

This is an exposition of our work on the canonical models of representations of Hardy algebras associated with $W^*$-correspondences. It generalizes the model theory of Sz.-Nagy and Foias and the work of Popescu on models of row contractions. We also emphasize the concept of duality for $W^*$-correspondences and its relation to Morita equivalence of correspondenses.

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