Identification of maximal $C^*$-covers of some operator algebras
Operator Algebras
2023-08-14 v2
Abstract
We use results on inclusions of free products and extensions of completely positive maps to determine the maximal -envelope for upper triangular matrices. We consider these same results in the context of larger upper triangular matrices and graph algebras associated to cycle graphs.
Keywords
Cite
@article{arxiv.2203.11166,
title = {Identification of maximal $C^*$-covers of some operator algebras},
author = {Benton L. Duncan},
journal= {arXiv preprint arXiv:2203.11166},
year = {2023}
}
Comments
12 pages; corrected proof of Proposition 2.5 with additional hypotheses, clarified the pushout diagrams in Theorem 2.10