Nuclearity of Hypergraph C*-Algebras
Operator Algebras
2026-03-17 v2
Abstract
We partially characterize nuclearity for the recently introduced class of hypergraph C*-algebras using a tailor-made hypergraph minor relation. The latter is generated by certain operations on hypergraphs which resemble the moves on directed graphs used by Eilers, Restorff, Ruiz and S{\o}rensen to classify unital graph C*-algebras. In particular, we obtain a new proof of the fact that every graph C*-algebra associated to a finite graph is nuclear.
Keywords
Cite
@article{arxiv.2405.10044,
title = {Nuclearity of Hypergraph C*-Algebras},
author = {Björn Schäfer and Moritz Weber},
journal= {arXiv preprint arXiv:2405.10044},
year = {2026}
}