Duality of $W^*$-correspondences and applications

Details Duality of $W^*$-correspondences and applications Duality of $W^*$-correspondences and applications

2004-04-18

arxiv.org/abs/math/0404316v1

Mathematics

Operator Algebras

Expository, 18 pages

Scientific paper

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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