Duality of W^*-correspondences and applications

2004/04/18 by Paul S. Muhly, Muhly, Paul S., Baruch Solel +1
Mathematics · #46L08 #46L53 #47A45 #47L55 #47L65 #47L75 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.OA #msc:46L08 #msc:46L53 #msc:47A45 #msc:47L55 #msc:47L65 #msc:47L75

paper · pdf · doi:10.48550/arxiv.math/0404316

Expository, 18 pages

arxiv created 2004/04/18 · openalex publication_date 2004/04/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Morita equivalence for c∗-algebras and w∗-algebras

Related

• Hardy algebras associated with W^*-correspondences (point evaluation and Schur class functions)
• Canonical Models for Representations of Hardy Algebras
• Hardy Algebras, W*-Correspondences and Interpolation Theory
• Representations of Hardy Algebras: Absolute Continuity, Intertwiners and Superharmonic Operators
• A construction of C^*-algebras from C^*-correspondences