Essential representations of C*-correspondences

2004/11/09 by Ilan Hirshberg, Hirshberg, Ilan
Mathematics · #46L08 #46L30 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.OA #msc:46L08 #msc:46L30

paper · pdf · doi:10.48550/arxiv.math/0411209

9 pages

arxiv created 2004/11/09 · openalex publication_date 2004/11/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ψsuch that ψ(E)H = H to recover the Cuntz-Pimsner algebra O_E.

Citations

• States of Toeplitz-Cuntz algebras

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