Hyperrigidity of C*-correspondences

Kim, S. J. (2021) Hyperrigidity of C*-correspondences. Integral Equations and Operator Theory, 93, 47. (doi: 10.1007/s00020-021-02663-3)

Abstract

We show that hyperrigidity for a C*-correspondence (A, X) is equivalent to non-degeneracy of the left action of the Katsura ideal JX on X. This extends the work of Kakariadis (Bull Lond Math Soc 45(6):1119–1130, 2013, Theorem 3.3) and Dor-On and Salomon (J Lond Math Soc 98(2):416–438, 2018, Theorem 3.5) who establish this equivalence for discrete graphs as well as the work of Katsoulis and Ramsey (The non-selfadjoint approach to the Hao–Ng isomorphism, arXiv preprint arXiv:1807.11425, 2018, Theorem 3.1), who establish one direction of this equivalence.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Kim, Mr Se Jin
• Authors: Kim, S. J.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Integral Equations and Operator Theory
• Publisher: Springer
• ISSN: 0378-620X
• ISSN (Online): 1420-8989
• Copyright Holders: Copyright © 2021 The Author
• First Published: First published in Integral Equations and Operator Theory 93:47
• Publisher Policy: Reproduced under a Creative Commons licence