Nuclearity of hypergraph $C$*-algebras Article Swipe

View

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.4171/jncg/635

We partially characterize nuclearity for the recently introduced class of hypergraph C^{\ast} -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^{\ast} -algebras. In particular, we obtain a new proof of the fact that every graph C^{\ast} -algebra associated to a finite graph is nuclear.

Related Topics

Concepts

Hypergraph Mathematics Combinatorics Discrete mathematics Graph Unital Class (philosophy) Existential quantification Line graph Voltage graph Graph theory Multigraph

Metadata

Type: article
Landing Page: https://doi.org/10.4171/jncg/635
OA Status: diamond
OpenAlex ID: https://openalex.org/W7106715585

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W7106715585

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.4171/jncg/635

Digital Object Identifier
Title: Nuclearity of hypergraph $C$*-algebras

Work title
Type: article

OpenAlex work type
Publication year: 2025

Year of publication
Publication date: 2025-11-26

Full publication date if available
Authors: Björn Schäfer, Moritz Weber

List of authors in order
Landing page: https://doi.org/10.4171/jncg/635

Publisher landing page
Open access: Yes

Whether a free full text is available
OA status: diamond

Open access status per OpenAlex
OA URL: https://doi.org/10.4171/jncg/635

Direct OA link when available
Concepts: Hypergraph, Mathematics, Combinatorics, Discrete mathematics, Graph, Unital, Class (philosophy), Existential quantification, Line graph, Voltage graph, Graph theory, Multigraph

Top concepts (fields/topics) attached by OpenAlex
Cited by: 0

Total citation count in OpenAlex

Full payload

id	https://openalex.org/W7106715585
doi	https://doi.org/10.4171/jncg/635
ids.doi	https://doi.org/10.4171/jncg/635
ids.openalex	https://openalex.org/W7106715585
fwci	0.0
type	article
title	Nuclearity of hypergraph $C$*-algebras
biblio.issue
biblio.volume
biblio.last_page
biblio.first_page
is_xpac	False
apc_list
apc_paid
concepts[0].id	https://openalex.org/C2781221856
concepts[0].level	2
concepts[0].score	0.9065854549407959
concepts[0].wikidata	https://www.wikidata.org/wiki/Q840247
concepts[0].display_name	Hypergraph
concepts[1].id	https://openalex.org/C33923547
concepts[1].level	0
concepts[1].score	0.8278293013572693
concepts[1].wikidata	https://www.wikidata.org/wiki/Q395
concepts[1].display_name	Mathematics
concepts[2].id	https://openalex.org/C114614502
concepts[2].level	1
concepts[2].score	0.6757583618164062
concepts[2].wikidata	https://www.wikidata.org/wiki/Q76592
concepts[2].display_name	Combinatorics
concepts[3].id	https://openalex.org/C118615104
concepts[3].level	1
concepts[3].score	0.5278512835502625
concepts[3].wikidata	https://www.wikidata.org/wiki/Q121416
concepts[3].display_name	Discrete mathematics
concepts[4].id	https://openalex.org/C132525143
concepts[4].level	2
concepts[4].score	0.5066580176353455
concepts[4].wikidata	https://www.wikidata.org/wiki/Q141488
concepts[4].display_name	Graph
concepts[5].id	https://openalex.org/C160873635
concepts[5].level	3
concepts[5].score	0.4842090606689453
concepts[5].wikidata	https://www.wikidata.org/wiki/Q17148807
concepts[5].display_name	Unital
concepts[6].id	https://openalex.org/C2777212361
concepts[6].level	2
concepts[6].score	0.4159175753593445
concepts[6].wikidata	https://www.wikidata.org/wiki/Q5127848
concepts[6].display_name	Class (philosophy)
concepts[7].id	https://openalex.org/C136979486
concepts[7].level	2
concepts[7].score	0.3527442216873169
concepts[7].wikidata	https://www.wikidata.org/wiki/Q773483
concepts[7].display_name	Existential quantification
concepts[8].id	https://openalex.org/C203776342
concepts[8].level	3
concepts[8].score	0.30834177136421204
concepts[8].wikidata	https://www.wikidata.org/wiki/Q1378376
concepts[8].display_name	Line graph
concepts[9].id	https://openalex.org/C22149727
concepts[9].level	4
concepts[9].score	0.3070172667503357
concepts[9].wikidata	https://www.wikidata.org/wiki/Q7940747
concepts[9].display_name	Voltage graph
concepts[10].id	https://openalex.org/C88230418
concepts[10].level	2
concepts[10].score	0.29148685932159424
concepts[10].wikidata	https://www.wikidata.org/wiki/Q131476
concepts[10].display_name	Graph theory
concepts[11].id	https://openalex.org/C17758045
concepts[11].level	3
concepts[11].score	0.2664998173713684
concepts[11].wikidata	https://www.wikidata.org/wiki/Q2642629
concepts[11].display_name	Multigraph
keywords[0].id	https://openalex.org/keywords/hypergraph
keywords[0].score	0.9065854549407959
keywords[0].display_name	Hypergraph
keywords[1].id	https://openalex.org/keywords/graph
keywords[1].score	0.5066580176353455
keywords[1].display_name	Graph
keywords[2].id	https://openalex.org/keywords/unital
keywords[2].score	0.4842090606689453
keywords[2].display_name	Unital
keywords[3].id	https://openalex.org/keywords/class
keywords[3].score	0.4159175753593445
keywords[3].display_name	Class (philosophy)
keywords[4].id	https://openalex.org/keywords/existential-quantification
keywords[4].score	0.3527442216873169
keywords[4].display_name	Existential quantification
keywords[5].id	https://openalex.org/keywords/line-graph
keywords[5].score	0.30834177136421204
keywords[5].display_name	Line graph
language
locations[0].id	doi:10.4171/jncg/635
locations[0].is_oa	True
locations[0].source.id	https://openalex.org/S98390336
locations[0].source.issn	1661-6952, 1661-6960
locations[0].source.type	journal
locations[0].source.is_oa	True
locations[0].source.issn_l	1661-6952
locations[0].source.is_core	True
locations[0].source.is_in_doaj	True
locations[0].source.display_name	Journal of Noncommutative Geometry
locations[0].source.host_organization	https://openalex.org/P4310316982
locations[0].source.host_organization_name	European Mathematical Society
locations[0].source.host_organization_lineage	https://openalex.org/P4310316982
locations[0].license	cc-by
locations[0].pdf_url
locations[0].version	publishedVersion
locations[0].raw_type	journal-article
locations[0].license_id	https://openalex.org/licenses/cc-by
locations[0].is_accepted	True
locations[0].is_published	True
locations[0].raw_source_name	Journal of Noncommutative Geometry
locations[0].landing_page_url	https://doi.org/10.4171/jncg/635
indexed_in	crossref, doaj
authorships[0].author.id	https://openalex.org/A2149621388
authorships[0].author.orcid	https://orcid.org/0000-0002-7802-3005
authorships[0].author.display_name	Björn Schäfer
authorships[0].countries	DE
authorships[0].affiliations[0].institution_ids	https://openalex.org/I91712215
authorships[0].affiliations[0].raw_affiliation_string	Saarland University, Saarbrücken, Germany
authorships[0].institutions[0].id	https://openalex.org/I91712215
authorships[0].institutions[0].ror	https://ror.org/https://ror.org/01jdpyv68
authorships[0].institutions[0].type	education
authorships[0].institutions[0].lineage	https://openalex.org/I91712215
authorships[0].institutions[0].country_code	DE
authorships[0].institutions[0].display_name	Saarland University
authorships[0].author_position	first
authorships[0].raw_author_name	Björn Schäfer
authorships[0].is_corresponding	True
authorships[0].raw_affiliation_strings	Saarland University, Saarbrücken, Germany
authorships[1].author.id	https://openalex.org/A2113804566
authorships[1].author.orcid	https://orcid.org/0000-0002-1810-6343
authorships[1].author.display_name	Moritz Weber
authorships[1].countries	DE
authorships[1].affiliations[0].institution_ids	https://openalex.org/I91712215
authorships[1].affiliations[0].raw_affiliation_string	Saarland University, Saarbrücken, Germany
authorships[1].institutions[0].id	https://openalex.org/I91712215
authorships[1].institutions[0].ror	https://ror.org/https://ror.org/01jdpyv68
authorships[1].institutions[0].type	education
authorships[1].institutions[0].lineage	https://openalex.org/I91712215
authorships[1].institutions[0].country_code	DE
authorships[1].institutions[0].display_name	Saarland University
authorships[1].author_position	last
authorships[1].raw_author_name	Moritz Weber
authorships[1].is_corresponding	False
authorships[1].raw_affiliation_strings	Saarland University, Saarbrücken, Germany
has_content.pdf	False
has_content.grobid_xml	False
is_paratext	False
open_access.is_oa	True
open_access.oa_url	https://doi.org/10.4171/jncg/635
open_access.oa_status	diamond
open_access.any_repository_has_fulltext	False
created_date	2025-11-27T00:00:00
display_name	Nuclearity of hypergraph $C$*-algebras
has_fulltext	False
is_retracted	False
updated_date	2025-11-28T02:08:47.144824
primary_topic
cited_by_count	0
locations_count	1
best_oa_location.id	doi:10.4171/jncg/635
best_oa_location.is_oa	True
best_oa_location.source.id	https://openalex.org/S98390336
best_oa_location.source.issn	1661-6952, 1661-6960
best_oa_location.source.type	journal
best_oa_location.source.is_oa	True
best_oa_location.source.issn_l	1661-6952
best_oa_location.source.is_core	True
best_oa_location.source.is_in_doaj	True
best_oa_location.source.display_name	Journal of Noncommutative Geometry
best_oa_location.source.host_organization	https://openalex.org/P4310316982
best_oa_location.source.host_organization_name	European Mathematical Society
best_oa_location.source.host_organization_lineage	https://openalex.org/P4310316982
best_oa_location.license	cc-by
best_oa_location.pdf_url
best_oa_location.version	publishedVersion
best_oa_location.raw_type	journal-article
best_oa_location.license_id	https://openalex.org/licenses/cc-by
best_oa_location.is_accepted	True
best_oa_location.is_published	True
best_oa_location.raw_source_name	Journal of Noncommutative Geometry
best_oa_location.landing_page_url	https://doi.org/10.4171/jncg/635
primary_location.id	doi:10.4171/jncg/635
primary_location.is_oa	True
primary_location.source.id	https://openalex.org/S98390336
primary_location.source.issn	1661-6952, 1661-6960
primary_location.source.type	journal
primary_location.source.is_oa	True
primary_location.source.issn_l	1661-6952
primary_location.source.is_core	True
primary_location.source.is_in_doaj	True
primary_location.source.display_name	Journal of Noncommutative Geometry
primary_location.source.host_organization	https://openalex.org/P4310316982
primary_location.source.host_organization_name	European Mathematical Society
primary_location.source.host_organization_lineage	https://openalex.org/P4310316982
primary_location.license	cc-by
primary_location.pdf_url
primary_location.version	publishedVersion
primary_location.raw_type	journal-article
primary_location.license_id	https://openalex.org/licenses/cc-by
primary_location.is_accepted	True
primary_location.is_published	True
primary_location.raw_source_name	Journal of Noncommutative Geometry
primary_location.landing_page_url	https://doi.org/10.4171/jncg/635
publication_date	2025-11-26
publication_year	2025
referenced_works_count	0
abstract_inverted_index.a	14, 52, 65
abstract_inverted_index.In	48
abstract_inverted_index.We	0
abstract_inverted_index.by	23, 36
abstract_inverted_index.is	21, 68
abstract_inverted_index.of	9, 55
abstract_inverted_index.on	26, 32
abstract_inverted_index.to	42, 64
abstract_inverted_index.we	50
abstract_inverted_index.The	19
abstract_inverted_index.and	40
abstract_inverted_index.for	4
abstract_inverted_index.new	53
abstract_inverted_index.the	5, 30, 56
abstract_inverted_index.Ruiz	39
abstract_inverted_index.fact	57
abstract_inverted_index.that	58
abstract_inverted_index.used	35
abstract_inverted_index.class	8
abstract_inverted_index.every	59
abstract_inverted_index.graph	45, 60, 67
abstract_inverted_index.minor	17
abstract_inverted_index.moves	31
abstract_inverted_index.proof	54
abstract_inverted_index.using	13
abstract_inverted_index.which	28
abstract_inverted_index.finite	66
abstract_inverted_index.graphs	34
abstract_inverted_index.latter	20
abstract_inverted_index.obtain	51
abstract_inverted_index.unital	44
abstract_inverted_index.Eilers,	37
abstract_inverted_index.certain	24
abstract_inverted_index.-algebra	62
abstract_inverted_index.C^{\ast}	11, 46, 61
abstract_inverted_index.classify	43
abstract_inverted_index.directed	33
abstract_inverted_index.nuclear.	69
abstract_inverted_index.recently	6
abstract_inverted_index.resemble	29
abstract_inverted_index.-algebras	12
abstract_inverted_index.Restorff,	38
abstract_inverted_index.Sørensen	41
abstract_inverted_index.generated	22
abstract_inverted_index.partially	1
abstract_inverted_index.relation.	18
abstract_inverted_index.-algebras.	47
abstract_inverted_index.associated	63
abstract_inverted_index.hypergraph	10, 16
abstract_inverted_index.introduced	7
abstract_inverted_index.nuclearity	3
abstract_inverted_index.operations	25
abstract_inverted_index.hypergraphs	27
abstract_inverted_index.particular,	49
abstract_inverted_index.tailor-made	15
abstract_inverted_index.characterize	2
cited_by_percentile_year
countries_distinct_count	1
institutions_distinct_count	2
citation_normalized_percentile