Identification of maximal C*-covers of some operator algebras

Duncan, Benton

doi:10.1090/proc/16783

Identification of maximal C$^*$-covers of some operator algebras
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by Benton L. Duncan;

Proc. Amer. Math. Soc. 152 (2024), 2937-2951

DOI: https://doi.org/10.1090/proc/16783

Published electronically: May 9, 2024

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Abstract:

We use results on inclusions of free products and extensions of completely positive maps to determine the maximal C$^*$-envelope for upper triangular $3 \times 3$ matrices. We consider these same results in the context of larger upper triangular matrices and graph algebras associated to cycle graphs.

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