Primitivity of some full group [C.sup.]-algebras
We show that the full group [C.sup.*]-algebra of the free product of two nontrivial countable amenable discrete groups, where at least one of them has more than two elements, is primitive. We also show that in many cases, this [C.sup.*] algebra is antiliminary and has an uncountable family of pairwi...
Gespeichert in:
| Veröffentlicht in: | Banach journal of mathematical analysis 2011-07, Vol.5 (2), p.44 |
|---|---|
| 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 | 2 |
| container_start_page | 44 |
| container_title | Banach journal of mathematical analysis |
| container_volume | 5 |
| creator | Bedos, Erik Omland, Tron A |
| description | We show that the full group [C.sup.*]-algebra of the free product of two nontrivial countable amenable discrete groups, where at least one of them has more than two elements, is primitive. We also show that in many cases, this [C.sup.*] algebra is antiliminary and has an uncountable family of pairwise inequivalent, faithful irreducible representations. Key words and phrases. full group [C.sup.*]-algebra, primitivity, free product, antiliminary. |
| format | Article |
| fullrecord | <record><control><sourceid>gale</sourceid><recordid>TN_cdi_gale_infotracmisc_A268788539</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A268788539</galeid><sourcerecordid>A268788539</sourcerecordid><originalsourceid>FETCH-LOGICAL-g679-8a12e3f27008af830f87bc7c1c49801ec8b66e55ccaa258491d0008fbf451f0b3</originalsourceid><addsrcrecordid>eNptjz1rwzAYhDW00DTNfxB0lpFkS3o9BtMvCLRDthKCrOg1KnIULLvQf19BO3QoNxwczx3cFVkJUysGBswNuc35g3MtOcgV4W9TGMMcPsP8RRPSnEZPcYmRDlNaLvS9q_JyqQ7MxsH3k8135BptzH7z62uyf3zYd89s9_r00m13bNCmZWCF9DVKwzlYhJojmN4ZJ1zTAhfeQa-1V8o5a6WCphUnXlDssVECeV-vyf3P7GCjP4YzpnmybgzZHbdSlyOg6rZQ1T9U0cmPwaWzx1DyP4VvEjRNTw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Primitivity of some full group [C.sup.]-algebras</title><source>EZB-FREE-00999 freely available EZB journals</source><creator>Bedos, Erik ; Omland, Tron A</creator><creatorcontrib>Bedos, Erik ; Omland, Tron A</creatorcontrib><description>We show that the full group [C.sup.*]-algebra of the free product of two nontrivial countable amenable discrete groups, where at least one of them has more than two elements, is primitive. We also show that in many cases, this [C.sup.*] algebra is antiliminary and has an uncountable family of pairwise inequivalent, faithful irreducible representations. Key words and phrases. full group [C.sup.*]-algebra, primitivity, free product, antiliminary.</description><identifier>ISSN: 1735-8787</identifier><language>eng</language><publisher>Springer</publisher><subject>Group theory ; Mathematical analysis</subject><ispartof>Banach journal of mathematical analysis, 2011-07, Vol.5 (2), p.44</ispartof><rights>COPYRIGHT 2011 Springer</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784</link.rule.ids></links><search><creatorcontrib>Bedos, Erik</creatorcontrib><creatorcontrib>Omland, Tron A</creatorcontrib><title>Primitivity of some full group [C.sup.]-algebras</title><title>Banach journal of mathematical analysis</title><description>We show that the full group [C.sup.*]-algebra of the free product of two nontrivial countable amenable discrete groups, where at least one of them has more than two elements, is primitive. We also show that in many cases, this [C.sup.*] algebra is antiliminary and has an uncountable family of pairwise inequivalent, faithful irreducible representations. Key words and phrases. full group [C.sup.*]-algebra, primitivity, free product, antiliminary.</description><subject>Group theory</subject><subject>Mathematical analysis</subject><issn>1735-8787</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><sourceid/><recordid>eNptjz1rwzAYhDW00DTNfxB0lpFkS3o9BtMvCLRDthKCrOg1KnIULLvQf19BO3QoNxwczx3cFVkJUysGBswNuc35g3MtOcgV4W9TGMMcPsP8RRPSnEZPcYmRDlNaLvS9q_JyqQ7MxsH3k8135BptzH7z62uyf3zYd89s9_r00m13bNCmZWCF9DVKwzlYhJojmN4ZJ1zTAhfeQa-1V8o5a6WCphUnXlDssVECeV-vyf3P7GCjP4YzpnmybgzZHbdSlyOg6rZQ1T9U0cmPwaWzx1DyP4VvEjRNTw</recordid><startdate>20110701</startdate><enddate>20110701</enddate><creator>Bedos, Erik</creator><creator>Omland, Tron A</creator><general>Springer</general><scope/></search><sort><creationdate>20110701</creationdate><title>Primitivity of some full group [C.sup.]-algebras</title><author>Bedos, Erik ; Omland, Tron A</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-g679-8a12e3f27008af830f87bc7c1c49801ec8b66e55ccaa258491d0008fbf451f0b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Group theory</topic><topic>Mathematical analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bedos, Erik</creatorcontrib><creatorcontrib>Omland, Tron A</creatorcontrib><jtitle>Banach journal of mathematical analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bedos, Erik</au><au>Omland, Tron A</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Primitivity of some full group [C.sup.]-algebras</atitle><jtitle>Banach journal of mathematical analysis</jtitle><date>2011-07-01</date><risdate>2011</risdate><volume>5</volume><issue>2</issue><spage>44</spage><pages>44-</pages><issn>1735-8787</issn><abstract>We show that the full group [C.sup.*]-algebra of the free product of two nontrivial countable amenable discrete groups, where at least one of them has more than two elements, is primitive. We also show that in many cases, this [C.sup.*] algebra is antiliminary and has an uncountable family of pairwise inequivalent, faithful irreducible representations. Key words and phrases. full group [C.sup.*]-algebra, primitivity, free product, antiliminary.</abstract><pub>Springer</pub></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1735-8787 |
| ispartof | Banach journal of mathematical analysis, 2011-07, Vol.5 (2), p.44 |
| issn | 1735-8787 |
| language | eng |
| recordid | cdi_gale_infotracmisc_A268788539 |
| source | EZB-FREE-00999 freely available EZB journals |
| subjects | Group theory Mathematical analysis |
| title | Primitivity of some full group [C.sup.]-algebras |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-03T22%3A35%3A09IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Primitivity%20of%20some%20full%20group%20%5BC.sup.%5D-algebras&rft.jtitle=Banach%20journal%20of%20mathematical%20analysis&rft.au=Bedos,%20Erik&rft.date=2011-07-01&rft.volume=5&rft.issue=2&rft.spage=44&rft.pages=44-&rft.issn=1735-8787&rft_id=info:doi/&rft_dat=%3Cgale%3EA268788539%3C/gale%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_galeid=A268788539&rfr_iscdi=true |