Abstract
In this paper, we fully characterize maximal representations of a C*-correspondence, thereby strengthening several earlier results. We demonstrate the maximality criteria through 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 Dor-On. Furthermore, we identify several classes of correspondences for which the hyperrigidity conjecture holds.
Original language | English |
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Article number | 110097 |
Journal | Advances in Mathematics |
Volume | 462 |
DOIs | |
State | Published - Feb 2025 |
Bibliographical note
Publisher Copyright:© 2024 Elsevier Inc.
Keywords
- C*-correspondence
- Choquet boundary
- Cuntz-Pimsner algebra
- Dilation
- Hyperrigidity
- Unique extension property
ASJC Scopus subject areas
- General Mathematics