Maximality of correspondence representations

2024/07/05 by Boris Bilich, Bilich, Boris · 1 citation
Computer Science · Engineering · Mathematics · #46L07 #46L08 #47A20 #47L55 #Advanced Algebra and Logic #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2407.04278

openalex publication_date 2024/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we fully characterize maximal representations of a C*-correspondence. This strengthens several earlier results. We demonstrate the criterion with diverse examples. We also describe the noncommutative Choquet boundary and provide additional counterexamples to Arveson's hyperrigidity conjecture following the counterexample recently found by the author and Adam Dor-On.

Cited by

• The Hao-Ng isomorphism theorem for reduced crossed products

Related

• Essential representations of C*-correspondences
• Characterizing graph C*-correspondences
• On hyperrigidity and non-degenerate C*-correspondences
• Arveson's hyperrigidity conjecture is false
• Hyperrigidity of C*-correspondences