Nuclearity of Hypergraph C*-Algebras

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Bibliographic Details
Main Authors:	Schäfer, Björn, Weber, Moritz
Format:	Preprint
Published:	2024
Subjects:	Operator Algebras
Online Access:	Acceder al recurso
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_version_	1866917342666031104
author	Schäfer, Björn Weber, Moritz
author_facet	Schäfer, Björn Weber, Moritz
contents	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 Sørensen 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.
format	Preprint
id	arxiv_https___arxiv_org_abs_2405_10044
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Nuclearity of Hypergraph C-Algebras Schäfer, Björn Weber, Moritz Operator Algebras 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 Sørensen 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.
title	Nuclearity of Hypergraph C*-Algebras
topic	Operator Algebras
url	https://arxiv.org/abs/2405.10044

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