English

Essential representations of C*-correspondences

Operator Algebras 2007-05-23 v1

Abstract

Let E be a C*-correspondence over a C*-algebra \A with non-degenerate faithful left action. We show that E admits sufficiently many essential representations (i.e. representations \psi such that \psi(E)H = H to recover the Cuntz-Pimsner algebra O_E.

Keywords

Cite

@article{arxiv.math/0411209,
  title  = {Essential representations of C*-correspondences},
  author = {Ilan Hirshberg},
  journal= {arXiv preprint arXiv:math/0411209},
  year   = {2007}
}

Comments

9 pages

R2 v1 2026-07-22T17:12:10.983Z