Duality of $W^*$-correspondences and applications

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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.
Expository, 18 pages

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Operator Algebras, 46L08, 46L53, 47A45, 47L55, 47L65, 47L75

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http://salesiana.dossiersoluciones.com/handle/123456789/70886

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404316
 http://arxiv.org/abs/math/0404316

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arXiv