Maximality of correspondence representations
Operator Algebras
2024-12-25 v2 Functional Analysis
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.
Cite
@article{arxiv.2407.04278,
title = {Maximality of correspondence representations},
author = {Boris Bilich},
journal= {arXiv preprint arXiv:2407.04278},
year = {2024}
}
Comments
27 pages, accepted version