Coarse equivalence versus bijective coarse equivalence of expander graphs

We provide a characterization of when a coarse equivalence between coarse disjoint unions of expander graphs is close to a bijective coarse equivalence. We use this to show that if the uniform Roe algebras of coarse disjoint unions of expanders graphs are isomorphic, then the metric spaces must be b...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Mathematische Zeitschrift 2024-07, Vol.307 (3), Article 44
Hauptverfasser:	Baudier, Florent P., Braga, Bruno M., Farah, Ilijas, Vignati, Alessandro, Willett, Rufus
Format:	Artikel
Sprache:	eng
Schlagworte:	Equivalence Expanders Graphs Mathematics Mathematics and Statistics Metric space Unions
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

container_end_page
container_issue	3
container_start_page
container_title	Mathematische Zeitschrift
container_volume	307
creator	Baudier, Florent P. Braga, Bruno M. Farah, Ilijas Vignati, Alessandro Willett, Rufus
description	We provide a characterization of when a coarse equivalence between coarse disjoint unions of expander graphs is close to a bijective coarse equivalence. We use this to show that if the uniform Roe algebras of coarse disjoint unions of expanders graphs are isomorphic, then the metric spaces must be bijectively coarsely equivalent.
doi_str_mv	10.1007/s00209-024-03512-w
format	Article
fullrecord	<record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_3064182384</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>3064182384</sourcerecordid><originalsourceid>FETCH-LOGICAL-c200t-86be5aa27ef1691a8a720ddc151927cf7c7a473a2dffdca85e37b5169be521293</originalsourceid><addsrcrecordid>eNp9kD1PwzAQhi0EEqHwB5giMRvOX3UyogpopUosMFuucy6JSpLaTQv_HpcgMSAx3XDP857uJeSawS0D0HcRgENJgUsKQjFODyckY1JwygouTkmW9oqqQstzchFjA5CWWmZkMetsiJjjdqj3doOtw3yPIQ4xX9UNul29x9z9ZTqf40dv2wpDvg62f4uX5MzbTcSrnzkhr48PL7M5XT4_LWb3S-o4wI4W0xUqa7lGz6Yls4XVHKrKMcVKrp3XTlupheWV95WzhUKhVyqhSeOMl2JCbsbcPnTbAePONN0Q2nTSCJjK47-FTBQfKRe6GAN604f63YZPw8AcKzNjZSZVZr4rM4ckiVGKCW7XGH6j_7G-AK7fb-Q</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>3064182384</pqid></control><display><type>article</type><title>Coarse equivalence versus bijective coarse equivalence of expander graphs</title><source>SpringerLink Journals - AutoHoldings</source><creator>Baudier, Florent P. ; Braga, Bruno M. ; Farah, Ilijas ; Vignati, Alessandro ; Willett, Rufus</creator><creatorcontrib>Baudier, Florent P. ; Braga, Bruno M. ; Farah, Ilijas ; Vignati, Alessandro ; Willett, Rufus</creatorcontrib><description>We provide a characterization of when a coarse equivalence between coarse disjoint unions of expander graphs is close to a bijective coarse equivalence. We use this to show that if the uniform Roe algebras of coarse disjoint unions of expanders graphs are isomorphic, then the metric spaces must be bijectively coarsely equivalent.</description><identifier>ISSN: 0025-5874</identifier><identifier>EISSN: 1432-1823</identifier><identifier>DOI: 10.1007/s00209-024-03512-w</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Equivalence ; Expanders ; Graphs ; Mathematics ; Mathematics and Statistics ; Metric space ; Unions</subject><ispartof>Mathematische Zeitschrift, 2024-07, Vol.307 (3), Article 44</ispartof><rights>The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c200t-86be5aa27ef1691a8a720ddc151927cf7c7a473a2dffdca85e37b5169be521293</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00209-024-03512-w$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00209-024-03512-w$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,778,782,27907,27908,41471,42540,51302</link.rule.ids></links><search><creatorcontrib>Baudier, Florent P.</creatorcontrib><creatorcontrib>Braga, Bruno M.</creatorcontrib><creatorcontrib>Farah, Ilijas</creatorcontrib><creatorcontrib>Vignati, Alessandro</creatorcontrib><creatorcontrib>Willett, Rufus</creatorcontrib><title>Coarse equivalence versus bijective coarse equivalence of expander graphs</title><title>Mathematische Zeitschrift</title><addtitle>Math. Z</addtitle><description>We provide a characterization of when a coarse equivalence between coarse disjoint unions of expander graphs is close to a bijective coarse equivalence. We use this to show that if the uniform Roe algebras of coarse disjoint unions of expanders graphs are isomorphic, then the metric spaces must be bijectively coarsely equivalent.</description><subject>Equivalence</subject><subject>Expanders</subject><subject>Graphs</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Metric space</subject><subject>Unions</subject><issn>0025-5874</issn><issn>1432-1823</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp9kD1PwzAQhi0EEqHwB5giMRvOX3UyogpopUosMFuucy6JSpLaTQv_HpcgMSAx3XDP857uJeSawS0D0HcRgENJgUsKQjFODyckY1JwygouTkmW9oqqQstzchFjA5CWWmZkMetsiJjjdqj3doOtw3yPIQ4xX9UNul29x9z9ZTqf40dv2wpDvg62f4uX5MzbTcSrnzkhr48PL7M5XT4_LWb3S-o4wI4W0xUqa7lGz6Yls4XVHKrKMcVKrp3XTlupheWV95WzhUKhVyqhSeOMl2JCbsbcPnTbAePONN0Q2nTSCJjK47-FTBQfKRe6GAN604f63YZPw8AcKzNjZSZVZr4rM4ckiVGKCW7XGH6j_7G-AK7fb-Q</recordid><startdate>20240701</startdate><enddate>20240701</enddate><creator>Baudier, Florent P.</creator><creator>Braga, Bruno M.</creator><creator>Farah, Ilijas</creator><creator>Vignati, Alessandro</creator><creator>Willett, Rufus</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20240701</creationdate><title>Coarse equivalence versus bijective coarse equivalence of expander graphs</title><author>Baudier, Florent P. ; Braga, Bruno M. ; Farah, Ilijas ; Vignati, Alessandro ; Willett, Rufus</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c200t-86be5aa27ef1691a8a720ddc151927cf7c7a473a2dffdca85e37b5169be521293</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Equivalence</topic><topic>Expanders</topic><topic>Graphs</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Metric space</topic><topic>Unions</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Baudier, Florent P.</creatorcontrib><creatorcontrib>Braga, Bruno M.</creatorcontrib><creatorcontrib>Farah, Ilijas</creatorcontrib><creatorcontrib>Vignati, Alessandro</creatorcontrib><creatorcontrib>Willett, Rufus</creatorcontrib><collection>CrossRef</collection><jtitle>Mathematische Zeitschrift</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Baudier, Florent P.</au><au>Braga, Bruno M.</au><au>Farah, Ilijas</au><au>Vignati, Alessandro</au><au>Willett, Rufus</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Coarse equivalence versus bijective coarse equivalence of expander graphs</atitle><jtitle>Mathematische Zeitschrift</jtitle><stitle>Math. Z</stitle><date>2024-07-01</date><risdate>2024</risdate><volume>307</volume><issue>3</issue><artnum>44</artnum><issn>0025-5874</issn><eissn>1432-1823</eissn><abstract>We provide a characterization of when a coarse equivalence between coarse disjoint unions of expander graphs is close to a bijective coarse equivalence. We use this to show that if the uniform Roe algebras of coarse disjoint unions of expanders graphs are isomorphic, then the metric spaces must be bijectively coarsely equivalent.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s00209-024-03512-w</doi></addata></record>
fulltext	fulltext
identifier	ISSN: 0025-5874
ispartof	Mathematische Zeitschrift, 2024-07, Vol.307 (3), Article 44
issn	0025-5874 1432-1823
language	eng
recordid	cdi_proquest_journals_3064182384
source	SpringerLink Journals - AutoHoldings
subjects	Equivalence Expanders Graphs Mathematics Mathematics and Statistics Metric space Unions
title	Coarse equivalence versus bijective coarse equivalence of expander graphs
url	https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-17T02%3A40%3A33IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Coarse%20equivalence%20versus%20bijective%20coarse%20equivalence%20of%20expander%20graphs&rft.jtitle=Mathematische%20Zeitschrift&rft.au=Baudier,%20Florent%20P.&rft.date=2024-07-01&rft.volume=307&rft.issue=3&rft.artnum=44&rft.issn=0025-5874&rft.eissn=1432-1823&rft_id=info:doi/10.1007/s00209-024-03512-w&rft_dat=%3Cproquest_cross%3E3064182384%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=3064182384&rft_id=info:pmid/&rfr_iscdi=true