C^{\ast}-algebras associated with branched coverings

In this note we analyze the C^{\ast}-algebra associated with a branched covering both as a groupoid C^{\ast}-algebra and as a Cuntz-Pimsner algebra. We determine conditions when the algebra is simple and purely infinite. We indicate how to compute the K-theory of several examples, including one rela...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Proceedings of the American Mathematical Society 2001-04, Vol.129 (4), p.1077-1086
Hauptverfasser: Deaconu, Valentin, Muhly, Paul S.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 1086
container_issue 4
container_start_page 1077
container_title Proceedings of the American Mathematical Society
container_volume 129
creator Deaconu, Valentin
Muhly, Paul S.
description In this note we analyze the C^{\ast}-algebra associated with a branched covering both as a groupoid C^{\ast}-algebra and as a Cuntz-Pimsner algebra. We determine conditions when the algebra is simple and purely infinite. We indicate how to compute the K-theory of several examples, including one related to rational maps on the Riemann sphere.
doi_str_mv 10.1090/S0002-9939-00-05697-5
format Article
fullrecord <record><control><sourceid>jstor_ams_p</sourceid><recordid>TN_cdi_jstor_primary_2668912</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><jstor_id>2668912</jstor_id><sourcerecordid>2668912</sourcerecordid><originalsourceid>FETCH-LOGICAL-a217t-7a0fcc2f5de1eace0793e5988c11c96c4f7bcc049dd4b6e5a998b3e60a1f01a3</originalsourceid><addsrcrecordid>eNo9kNFKw0AQRRdRMFb_QCE_sDqzyW52HiWoFQo-2EdxmWw2bUrbSDYoIv67aSt9Gu6cy8AcIW4QbhEI7l4BQEmijCSABG2okPpEJAjWSmOVORXJsXIuLmJcjREpLxKRl-8_bxyHX8nrRah6jinH2PmWh1CnX-2wTMfl1i_H5LvP0LfbRbwUZw2vY7j6nxMxf3yYl1M5e3l6Lu9nkhUWgywYGu9Vo-uAgX2AgrKgyVqP6Mn4vCkq7yGnus4rEzQT2SoLBhgbQM4m4vpwdhWHrncffbvh_tspYyyhGjEcMG_iESK4nRO3d-J2DzsAt3fidPYHtKFUdw</addsrcrecordid><sourcetype>Publisher</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>C^{\ast}-algebras associated with branched coverings</title><source>JSTOR Mathematics and Statistics</source><source>American Mathematical Society Publications (Freely Accessible)</source><source>American Mathematical Society Publications</source><source>EZB-FREE-00999 freely available EZB journals</source><source>JSTOR</source><creator>Deaconu, Valentin ; Muhly, Paul S.</creator><creatorcontrib>Deaconu, Valentin ; Muhly, Paul S.</creatorcontrib><description>In this note we analyze the C^{\ast}-algebra associated with a branched covering both as a groupoid C^{\ast}-algebra and as a Cuntz-Pimsner algebra. We determine conditions when the algebra is simple and purely infinite. We indicate how to compute the K-theory of several examples, including one related to rational maps on the Riemann sphere.</description><identifier>ISSN: 0002-9939</identifier><identifier>EISSN: 1088-6826</identifier><identifier>DOI: 10.1090/S0002-9939-00-05697-5</identifier><language>eng</language><publisher>American Mathematical Society</publisher><subject>Adjoints ; Algebra ; Equivalence relation ; Homeomorphism ; Inner products ; Mathematical theorems ; Operator theory ; Quotients ; Tensors</subject><ispartof>Proceedings of the American Mathematical Society, 2001-04, Vol.129 (4), p.1077-1086</ispartof><rights>Copyright 2000, American Mathematical Society</rights><rights>Copyright 2001 American Mathematical Society</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttp://www.ams.org/journal-getitem?pii=S0002-9939-00-05697-5http://www.ams.org/journal-getitem?pii=S0002-9939-00-05697-5.pdf$$EPDF$$P50$$Gams$$H</linktopdf><linktohtml>$$Uhttp://www.ams.org/journal-getitem?pii=S0002-9939-00-05697-5$$EHTML$$P50$$Gams$$H</linktohtml><link.rule.ids>68,69,314,780,784,803,832,23324,23328,27924,27925,58017,58021,58250,58254,77836,77838,77846,77848</link.rule.ids></links><search><creatorcontrib>Deaconu, Valentin</creatorcontrib><creatorcontrib>Muhly, Paul S.</creatorcontrib><title>C^{\ast}-algebras associated with branched coverings</title><title>Proceedings of the American Mathematical Society</title><description>In this note we analyze the C^{\ast}-algebra associated with a branched covering both as a groupoid C^{\ast}-algebra and as a Cuntz-Pimsner algebra. We determine conditions when the algebra is simple and purely infinite. We indicate how to compute the K-theory of several examples, including one related to rational maps on the Riemann sphere.</description><subject>Adjoints</subject><subject>Algebra</subject><subject>Equivalence relation</subject><subject>Homeomorphism</subject><subject>Inner products</subject><subject>Mathematical theorems</subject><subject>Operator theory</subject><subject>Quotients</subject><subject>Tensors</subject><issn>0002-9939</issn><issn>1088-6826</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2001</creationdate><recordtype>article</recordtype><sourceid/><recordid>eNo9kNFKw0AQRRdRMFb_QCE_sDqzyW52HiWoFQo-2EdxmWw2bUrbSDYoIv67aSt9Gu6cy8AcIW4QbhEI7l4BQEmijCSABG2okPpEJAjWSmOVORXJsXIuLmJcjREpLxKRl-8_bxyHX8nrRah6jinH2PmWh1CnX-2wTMfl1i_H5LvP0LfbRbwUZw2vY7j6nxMxf3yYl1M5e3l6Lu9nkhUWgywYGu9Vo-uAgX2AgrKgyVqP6Mn4vCkq7yGnus4rEzQT2SoLBhgbQM4m4vpwdhWHrncffbvh_tspYyyhGjEcMG_iESK4nRO3d-J2DzsAt3fidPYHtKFUdw</recordid><startdate>20010401</startdate><enddate>20010401</enddate><creator>Deaconu, Valentin</creator><creator>Muhly, Paul S.</creator><general>American Mathematical Society</general><scope/></search><sort><creationdate>20010401</creationdate><title>C^{\ast}-algebras associated with branched coverings</title><author>Deaconu, Valentin ; Muhly, Paul S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a217t-7a0fcc2f5de1eace0793e5988c11c96c4f7bcc049dd4b6e5a998b3e60a1f01a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2001</creationdate><topic>Adjoints</topic><topic>Algebra</topic><topic>Equivalence relation</topic><topic>Homeomorphism</topic><topic>Inner products</topic><topic>Mathematical theorems</topic><topic>Operator theory</topic><topic>Quotients</topic><topic>Tensors</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Deaconu, Valentin</creatorcontrib><creatorcontrib>Muhly, Paul S.</creatorcontrib><jtitle>Proceedings of the American Mathematical Society</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Deaconu, Valentin</au><au>Muhly, Paul S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>C^{\ast}-algebras associated with branched coverings</atitle><jtitle>Proceedings of the American Mathematical Society</jtitle><date>2001-04-01</date><risdate>2001</risdate><volume>129</volume><issue>4</issue><spage>1077</spage><epage>1086</epage><pages>1077-1086</pages><issn>0002-9939</issn><eissn>1088-6826</eissn><abstract>In this note we analyze the C^{\ast}-algebra associated with a branched covering both as a groupoid C^{\ast}-algebra and as a Cuntz-Pimsner algebra. We determine conditions when the algebra is simple and purely infinite. We indicate how to compute the K-theory of several examples, including one related to rational maps on the Riemann sphere.</abstract><pub>American Mathematical Society</pub><doi>10.1090/S0002-9939-00-05697-5</doi><tpages>10</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0002-9939
ispartof Proceedings of the American Mathematical Society, 2001-04, Vol.129 (4), p.1077-1086
issn 0002-9939
1088-6826
language eng
recordid cdi_jstor_primary_2668912
source JSTOR Mathematics and Statistics; American Mathematical Society Publications (Freely Accessible); American Mathematical Society Publications; EZB-FREE-00999 freely available EZB journals; JSTOR
subjects Adjoints
Algebra
Equivalence relation
Homeomorphism
Inner products
Mathematical theorems
Operator theory
Quotients
Tensors
title C^{\ast}-algebras associated with branched coverings
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-28T16%3A48%3A18IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-jstor_ams_p&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=C%5E%7B%5Cast%7D-algebras%20associated%20with%20branched%20coverings&rft.jtitle=Proceedings%20of%20the%20American%20Mathematical%20Society&rft.au=Deaconu,%20Valentin&rft.date=2001-04-01&rft.volume=129&rft.issue=4&rft.spage=1077&rft.epage=1086&rft.pages=1077-1086&rft.issn=0002-9939&rft.eissn=1088-6826&rft_id=info:doi/10.1090/S0002-9939-00-05697-5&rft_dat=%3Cjstor_ams_p%3E2668912%3C/jstor_ams_p%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_jstor_id=2668912&rfr_iscdi=true