Morita Enveloping Fell Bundles
We introduce notions of weak and strong equivalence for non-saturated Fell bundles over locally compact groups and show that every Fell bundle is strongly (resp. weakly) equivalent to a semidirect product Fell bundle for a partial (resp. global) action. Equivalences preserve cross-sectional C ∗ -alg...
Gespeichert in:
| Veröffentlicht in: | Boletim da Sociedade Brasileira de Matemática 2019-03, Vol.50 (1), p.3-35 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 35 |
|---|---|
| container_issue | 1 |
| container_start_page | 3 |
| container_title | Boletim da Sociedade Brasileira de Matemática |
| container_volume | 50 |
| creator | Abadie, Fernando Buss, Alcides Ferraro, Damián |
| description | We introduce notions of weak and strong equivalence for non-saturated Fell bundles over locally compact groups and show that every Fell bundle is strongly (resp. weakly) equivalent to a semidirect product Fell bundle for a partial (resp. global) action. Equivalences preserve cross-sectional
C
∗
-algebras and amenability. We use this to show that previous results on crossed products and amenability of group actions carry over to Fell bundles. |
| doi_str_mv | 10.1007/s00574-018-0088-6 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2202400953</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2202400953</sourcerecordid><originalsourceid>FETCH-LOGICAL-c316t-37e6d14c52d9a254397aeba71f96f513844bfabb6d7925f671f4fbbc1e6c16b33</originalsourceid><addsrcrecordid>eNp1kE1LxDAQhoMouK7-AC9S8BydyWd71GVXhRUveg5JmyxdaluTreC_t6WKJ08zMM_7DjyEXCLcIIC-TQBSCwqYU4A8p-qILFDpnGqN4vh3l0KckrOU9gCgpOQLcvXcxfpgs3X76Zuur9tdtvFNk90PbdX4dE5Ogm2Sv_iZS_K2Wb-uHun25eFpdbelJUd1oFx7VaEoJasKy6TghbbeWY2hUEEiz4VwwTqnKl0wGdR4EMG5Er0qUTnOl-R67u1j9zH4dDD7bojt-NIwBkwAFHKicKbK2KUUfTB9rN9t_DIIZtJgZg1m1GAmDUaNGTZn0si2Ox__mv8PfQN1Hl3N</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2202400953</pqid></control><display><type>article</type><title>Morita Enveloping Fell Bundles</title><source>SpringerLink Journals - AutoHoldings</source><creator>Abadie, Fernando ; Buss, Alcides ; Ferraro, Damián</creator><creatorcontrib>Abadie, Fernando ; Buss, Alcides ; Ferraro, Damián</creatorcontrib><description>We introduce notions of weak and strong equivalence for non-saturated Fell bundles over locally compact groups and show that every Fell bundle is strongly (resp. weakly) equivalent to a semidirect product Fell bundle for a partial (resp. global) action. Equivalences preserve cross-sectional
C
∗
-algebras and amenability. We use this to show that previous results on crossed products and amenability of group actions carry over to Fell bundles.</description><identifier>ISSN: 1678-7544</identifier><identifier>EISSN: 1678-7714</identifier><identifier>DOI: 10.1007/s00574-018-0088-6</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Bundles ; Bundling ; Equivalence ; Mathematical and Computational Physics ; Mathematics ; Mathematics and Statistics ; Theoretical</subject><ispartof>Boletim da Sociedade Brasileira de Matemática, 2019-03, Vol.50 (1), p.3-35</ispartof><rights>Sociedade Brasileira de Matemática 2018</rights><rights>Copyright Springer Nature B.V. 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-37e6d14c52d9a254397aeba71f96f513844bfabb6d7925f671f4fbbc1e6c16b33</citedby><cites>FETCH-LOGICAL-c316t-37e6d14c52d9a254397aeba71f96f513844bfabb6d7925f671f4fbbc1e6c16b33</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/s00574-018-0088-6$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00574-018-0088-6$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Abadie, Fernando</creatorcontrib><creatorcontrib>Buss, Alcides</creatorcontrib><creatorcontrib>Ferraro, Damián</creatorcontrib><title>Morita Enveloping Fell Bundles</title><title>Boletim da Sociedade Brasileira de Matemática</title><addtitle>Bull Braz Math Soc, New Series</addtitle><description>We introduce notions of weak and strong equivalence for non-saturated Fell bundles over locally compact groups and show that every Fell bundle is strongly (resp. weakly) equivalent to a semidirect product Fell bundle for a partial (resp. global) action. Equivalences preserve cross-sectional
C
∗
-algebras and amenability. We use this to show that previous results on crossed products and amenability of group actions carry over to Fell bundles.</description><subject>Bundles</subject><subject>Bundling</subject><subject>Equivalence</subject><subject>Mathematical and Computational Physics</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Theoretical</subject><issn>1678-7544</issn><issn>1678-7714</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1kE1LxDAQhoMouK7-AC9S8BydyWd71GVXhRUveg5JmyxdaluTreC_t6WKJ08zMM_7DjyEXCLcIIC-TQBSCwqYU4A8p-qILFDpnGqN4vh3l0KckrOU9gCgpOQLcvXcxfpgs3X76Zuur9tdtvFNk90PbdX4dE5Ogm2Sv_iZS_K2Wb-uHun25eFpdbelJUd1oFx7VaEoJasKy6TghbbeWY2hUEEiz4VwwTqnKl0wGdR4EMG5Er0qUTnOl-R67u1j9zH4dDD7bojt-NIwBkwAFHKicKbK2KUUfTB9rN9t_DIIZtJgZg1m1GAmDUaNGTZn0si2Ox__mv8PfQN1Hl3N</recordid><startdate>20190312</startdate><enddate>20190312</enddate><creator>Abadie, Fernando</creator><creator>Buss, Alcides</creator><creator>Ferraro, Damián</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20190312</creationdate><title>Morita Enveloping Fell Bundles</title><author>Abadie, Fernando ; Buss, Alcides ; Ferraro, Damián</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-37e6d14c52d9a254397aeba71f96f513844bfabb6d7925f671f4fbbc1e6c16b33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Bundles</topic><topic>Bundling</topic><topic>Equivalence</topic><topic>Mathematical and Computational Physics</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Abadie, Fernando</creatorcontrib><creatorcontrib>Buss, Alcides</creatorcontrib><creatorcontrib>Ferraro, Damián</creatorcontrib><collection>CrossRef</collection><jtitle>Boletim da Sociedade Brasileira de Matemática</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Abadie, Fernando</au><au>Buss, Alcides</au><au>Ferraro, Damián</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Morita Enveloping Fell Bundles</atitle><jtitle>Boletim da Sociedade Brasileira de Matemática</jtitle><stitle>Bull Braz Math Soc, New Series</stitle><date>2019-03-12</date><risdate>2019</risdate><volume>50</volume><issue>1</issue><spage>3</spage><epage>35</epage><pages>3-35</pages><issn>1678-7544</issn><eissn>1678-7714</eissn><abstract>We introduce notions of weak and strong equivalence for non-saturated Fell bundles over locally compact groups and show that every Fell bundle is strongly (resp. weakly) equivalent to a semidirect product Fell bundle for a partial (resp. global) action. Equivalences preserve cross-sectional
C
∗
-algebras and amenability. We use this to show that previous results on crossed products and amenability of group actions carry over to Fell bundles.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s00574-018-0088-6</doi><tpages>33</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1678-7544 |
| ispartof | Boletim da Sociedade Brasileira de Matemática, 2019-03, Vol.50 (1), p.3-35 |
| issn | 1678-7544 1678-7714 |
| language | eng |
| recordid | cdi_proquest_journals_2202400953 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Bundles Bundling Equivalence Mathematical and Computational Physics Mathematics Mathematics and Statistics Theoretical |
| title | Morita Enveloping Fell Bundles |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-24T13%3A22%3A40IST&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=Morita%20Enveloping%20Fell%20Bundles&rft.jtitle=Boletim%20da%20Sociedade%20Brasileira%20de%20Matem%C3%A1tica&rft.au=Abadie,%20Fernando&rft.date=2019-03-12&rft.volume=50&rft.issue=1&rft.spage=3&rft.epage=35&rft.pages=3-35&rft.issn=1678-7544&rft.eissn=1678-7714&rft_id=info:doi/10.1007/s00574-018-0088-6&rft_dat=%3Cproquest_cross%3E2202400953%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=2202400953&rft_id=info:pmid/&rfr_iscdi=true |