The Cuntz-Toeplitz algebras have nuclear dimension one
We prove that unital extensions of Kirchberg algebras by separable stable AF algebras have nuclear dimension one. The title follows.
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2020-06 |
|---|---|
| Hauptverfasser: | , , , , , , , , , , , , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Easo, Philip Garijo, Esperanza Kaubrys, Sarunas Nkansah, David Vrabec, Martin Watt, David Wilson, Cameron Bönicke, Christian Evington, Samuel ough, Marzieh Sergio Girón Pacheco Seaton, Nicholas White, Stuart Whittaker, Michael F Zacharias, Joachim |
| description | We prove that unital extensions of Kirchberg algebras by separable stable AF algebras have nuclear dimension one. The title follows. |
| doi_str_mv | 10.48550/arxiv.2003.06314 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_2003_06314</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2377561644</sourcerecordid><originalsourceid>FETCH-LOGICAL-a524-1200f0cb8510da1d35b874f994a75b158e332ccd5444de7fc0a02371ffb6df73</originalsourceid><addsrcrecordid>eNotj01LwzAch4MgOOY-gCcDnlv_ee-OUnwZDDzYe0ibxHV0aU3aofv01s3T7_Lw43kQuiOQ80IIeDTxuz3mFIDlIBnhV2hBGSNZwSm9QauU9gBApaJCsAWS1c7hcgrjKat6N3TteMKm-3R1NAnvzNHhMDWdMxHb9uBCavuA--Bu0bU3XXKr_12ij5fnqnzLtu-vm_JpmxlBeUZmCw9NXQgC1hDLRF0o7tdrbpSoiSgcY7RprOCcW6d8AwYoU8T7Wlqv2BLdX17PTXqI7cHEH_3Xps9tM_FwIYbYf00ujXrfTzHMSno-UkISyTn7BZfjUJY</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2377561644</pqid></control><display><type>article</type><title>The Cuntz-Toeplitz algebras have nuclear dimension one</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Easo, Philip ; Garijo, Esperanza ; Kaubrys, Sarunas ; Nkansah, David ; Vrabec, Martin ; Watt, David ; Wilson, Cameron ; Bönicke, Christian ; Evington, Samuel ; ough, Marzieh ; Sergio Girón Pacheco ; Seaton, Nicholas ; White, Stuart ; Whittaker, Michael F ; Zacharias, Joachim</creator><creatorcontrib>Easo, Philip ; Garijo, Esperanza ; Kaubrys, Sarunas ; Nkansah, David ; Vrabec, Martin ; Watt, David ; Wilson, Cameron ; Bönicke, Christian ; Evington, Samuel ; ough, Marzieh ; Sergio Girón Pacheco ; Seaton, Nicholas ; White, Stuart ; Whittaker, Michael F ; Zacharias, Joachim</creatorcontrib><description>We prove that unital extensions of Kirchberg algebras by separable stable AF algebras have nuclear dimension one. The title follows.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2003.06314</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Algebra ; Mathematics - Functional Analysis ; Mathematics - Operator Algebras</subject><ispartof>arXiv.org, 2020-06</ispartof><rights>2020. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,784,885,27925</link.rule.ids><backlink>$$Uhttps://doi.org/10.48550/arXiv.2003.06314$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1016/j.jfa.2020.108690$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Easo, Philip</creatorcontrib><creatorcontrib>Garijo, Esperanza</creatorcontrib><creatorcontrib>Kaubrys, Sarunas</creatorcontrib><creatorcontrib>Nkansah, David</creatorcontrib><creatorcontrib>Vrabec, Martin</creatorcontrib><creatorcontrib>Watt, David</creatorcontrib><creatorcontrib>Wilson, Cameron</creatorcontrib><creatorcontrib>Bönicke, Christian</creatorcontrib><creatorcontrib>Evington, Samuel</creatorcontrib><creatorcontrib>ough, Marzieh</creatorcontrib><creatorcontrib>Sergio Girón Pacheco</creatorcontrib><creatorcontrib>Seaton, Nicholas</creatorcontrib><creatorcontrib>White, Stuart</creatorcontrib><creatorcontrib>Whittaker, Michael F</creatorcontrib><creatorcontrib>Zacharias, Joachim</creatorcontrib><title>The Cuntz-Toeplitz algebras have nuclear dimension one</title><title>arXiv.org</title><description>We prove that unital extensions of Kirchberg algebras by separable stable AF algebras have nuclear dimension one. The title follows.</description><subject>Algebra</subject><subject>Mathematics - Functional Analysis</subject><subject>Mathematics - Operator Algebras</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj01LwzAch4MgOOY-gCcDnlv_ee-OUnwZDDzYe0ibxHV0aU3aofv01s3T7_Lw43kQuiOQ80IIeDTxuz3mFIDlIBnhV2hBGSNZwSm9QauU9gBApaJCsAWS1c7hcgrjKat6N3TteMKm-3R1NAnvzNHhMDWdMxHb9uBCavuA--Bu0bU3XXKr_12ij5fnqnzLtu-vm_JpmxlBeUZmCw9NXQgC1hDLRF0o7tdrbpSoiSgcY7RprOCcW6d8AwYoU8T7Wlqv2BLdX17PTXqI7cHEH_3Xps9tM_FwIYbYf00ujXrfTzHMSno-UkISyTn7BZfjUJY</recordid><startdate>20200610</startdate><enddate>20200610</enddate><creator>Easo, Philip</creator><creator>Garijo, Esperanza</creator><creator>Kaubrys, Sarunas</creator><creator>Nkansah, David</creator><creator>Vrabec, Martin</creator><creator>Watt, David</creator><creator>Wilson, Cameron</creator><creator>Bönicke, Christian</creator><creator>Evington, Samuel</creator><creator>ough, Marzieh</creator><creator>Sergio Girón Pacheco</creator><creator>Seaton, Nicholas</creator><creator>White, Stuart</creator><creator>Whittaker, Michael F</creator><creator>Zacharias, Joachim</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20200610</creationdate><title>The Cuntz-Toeplitz algebras have nuclear dimension one</title><author>Easo, Philip ; Garijo, Esperanza ; Kaubrys, Sarunas ; Nkansah, David ; Vrabec, Martin ; Watt, David ; Wilson, Cameron ; Bönicke, Christian ; Evington, Samuel ; ough, Marzieh ; Sergio Girón Pacheco ; Seaton, Nicholas ; White, Stuart ; Whittaker, Michael F ; Zacharias, Joachim</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a524-1200f0cb8510da1d35b874f994a75b158e332ccd5444de7fc0a02371ffb6df73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Algebra</topic><topic>Mathematics - Functional Analysis</topic><topic>Mathematics - Operator Algebras</topic><toplevel>online_resources</toplevel><creatorcontrib>Easo, Philip</creatorcontrib><creatorcontrib>Garijo, Esperanza</creatorcontrib><creatorcontrib>Kaubrys, Sarunas</creatorcontrib><creatorcontrib>Nkansah, David</creatorcontrib><creatorcontrib>Vrabec, Martin</creatorcontrib><creatorcontrib>Watt, David</creatorcontrib><creatorcontrib>Wilson, Cameron</creatorcontrib><creatorcontrib>Bönicke, Christian</creatorcontrib><creatorcontrib>Evington, Samuel</creatorcontrib><creatorcontrib>ough, Marzieh</creatorcontrib><creatorcontrib>Sergio Girón Pacheco</creatorcontrib><creatorcontrib>Seaton, Nicholas</creatorcontrib><creatorcontrib>White, Stuart</creatorcontrib><creatorcontrib>Whittaker, Michael F</creatorcontrib><creatorcontrib>Zacharias, Joachim</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Access via ProQuest (Open Access)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv Mathematics</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Easo, Philip</au><au>Garijo, Esperanza</au><au>Kaubrys, Sarunas</au><au>Nkansah, David</au><au>Vrabec, Martin</au><au>Watt, David</au><au>Wilson, Cameron</au><au>Bönicke, Christian</au><au>Evington, Samuel</au><au>ough, Marzieh</au><au>Sergio Girón Pacheco</au><au>Seaton, Nicholas</au><au>White, Stuart</au><au>Whittaker, Michael F</au><au>Zacharias, Joachim</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The Cuntz-Toeplitz algebras have nuclear dimension one</atitle><jtitle>arXiv.org</jtitle><date>2020-06-10</date><risdate>2020</risdate><eissn>2331-8422</eissn><abstract>We prove that unital extensions of Kirchberg algebras by separable stable AF algebras have nuclear dimension one. The title follows.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2003.06314</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2020-06 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_2003_06314 |
| source | arXiv.org; Free E- Journals |
| subjects | Algebra Mathematics - Functional Analysis Mathematics - Operator Algebras |
| title | The Cuntz-Toeplitz algebras have nuclear dimension one |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-28T17%3A41%3A30IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=The%20Cuntz-Toeplitz%20algebras%20have%20nuclear%20dimension%20one&rft.jtitle=arXiv.org&rft.au=Easo,%20Philip&rft.date=2020-06-10&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.2003.06314&rft_dat=%3Cproquest_arxiv%3E2377561644%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2377561644&rft_id=info:pmid/&rfr_iscdi=true |