Canonical Models for Representations of Hardy Algebras

Paul S. Muhly; Baruch Solel

Canonical Models for Representations of Hardy Algebras

Operator Algebras 2016-09-07 v1

Authors: Paul S. Muhly , Baruch Solel

Abstract

In this paper we study canonical models for representations of the Hardy algebras that generalize the model theory of Sz.-Nagy and Foias for contraction operators. The Hardy algebras are non selfadjoint operator algebras associated with $W^*$ -correspondences. This class includes the classical $H^{\infty}$ algebra, free semigroup algebras, quiver algebras and other classes of algebras studied in the literature.

Keywords

hardy algebras canonical models representations w*-correspondences non selfadjoint operator algebras contraction operators

Cite

@article{arxiv.math/0404315,
  title  = {Canonical Models for Representations of Hardy Algebras},
  author = {Paul S. Muhly and Baruch Solel},
  journal= {arXiv preprint arXiv:math/0404315},
  year   = {2016}
}

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