K-theoretic duality for hyperbolic dynamical systems

K-theoretic duality for hyperbolic dynamical systems

The K-theoretic analog of Spanier–Whitehead duality for noncommutative -algebras is shown to hold for the Ruelle algebras associated to irreducible Smale spaces. This had previously been proved only for shifts of finite type. Implications of this result as well as relations to the Baum–Connes conjec...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal für die reine und angewandte Mathematik 2017-09, Vol.2017 (730), p.263-299
Hauptverfasser: Kaminker, Jerome, Putnam, Ian F., Whittaker, Michael F.
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 299
container_issue 730
container_start_page 263
container_title Journal für die reine und angewandte Mathematik
container_volume 2017
creator Kaminker, Jerome
Putnam, Ian F.
Whittaker, Michael F.
description The K-theoretic analog of Spanier–Whitehead duality for noncommutative -algebras is shown to hold for the Ruelle algebras associated to irreducible Smale spaces. This had previously been proved only for shifts of finite type. Implications of this result as well as relations to the Baum–Connes conjecture and other topics are also considered.
doi_str_mv 10.1515/crelle-2014-0126
format Article
fullrecord <record><control><sourceid>walterdegruyter_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1515_crelle_2014_0126</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_1515_crelle_2014_01262017730263</sourcerecordid><originalsourceid>FETCH-LOGICAL-c484t-5aaf92d5bfebecb4f04a8c71a5523342cdcac79252b9cc67821fc2487b581d303</originalsourceid><addsrcrecordid>eNp1j8tOwzAQRS0EEqWwZ5kfMIwfUydLqHiJSmxgbTkTm6ZymspOhfL3JCpbVnM10rm6h7FbAXcCBd5T8jF6LkFoDkKuzthCaIUclcZztgAwyLUAecmuct4BAAojF0y_82Hr--SHlorm6GI7jEXoU7EdDz7VfZzf4951LblY5DEPvsvX7CK4mP3N312yr-enz_Ur33y8vK0fNpx0qQeOzoVKNlgHX3uqdQDtSjLCIUqltKSGHJlKoqwropUppQgkdWlqLEWjQC0ZnHop9TknH-whtZ1LoxVgZ2t7sraztZ2tJ-TxhPy4OPjU-O90HKdgd_0x7aex_6JTMEbB1KF-AREhYjU</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>K-theoretic duality for hyperbolic dynamical systems</title><source>De Gruyter journals</source><creator>Kaminker, Jerome ; Putnam, Ian F. ; Whittaker, Michael F.</creator><creatorcontrib>Kaminker, Jerome ; Putnam, Ian F. ; Whittaker, Michael F.</creatorcontrib><description>The K-theoretic analog of Spanier–Whitehead duality for noncommutative -algebras is shown to hold for the Ruelle algebras associated to irreducible Smale spaces. This had previously been proved only for shifts of finite type. Implications of this result as well as relations to the Baum–Connes conjecture and other topics are also considered.</description><identifier>ISSN: 0075-4102</identifier><identifier>EISSN: 1435-5345</identifier><identifier>DOI: 10.1515/crelle-2014-0126</identifier><language>eng</language><publisher>De Gruyter</publisher><ispartof>Journal für die reine und angewandte Mathematik, 2017-09, Vol.2017 (730), p.263-299</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c484t-5aaf92d5bfebecb4f04a8c71a5523342cdcac79252b9cc67821fc2487b581d303</citedby><cites>FETCH-LOGICAL-c484t-5aaf92d5bfebecb4f04a8c71a5523342cdcac79252b9cc67821fc2487b581d303</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.degruyter.com/document/doi/10.1515/crelle-2014-0126/pdf$$EPDF$$P50$$Gwalterdegruyter$$H</linktopdf><linktohtml>$$Uhttps://www.degruyter.com/document/doi/10.1515/crelle-2014-0126/html$$EHTML$$P50$$Gwalterdegruyter$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,66754,68538</link.rule.ids></links><search><creatorcontrib>Kaminker, Jerome</creatorcontrib><creatorcontrib>Putnam, Ian F.</creatorcontrib><creatorcontrib>Whittaker, Michael F.</creatorcontrib><title>K-theoretic duality for hyperbolic dynamical systems</title><title>Journal für die reine und angewandte Mathematik</title><description>The K-theoretic analog of Spanier–Whitehead duality for noncommutative -algebras is shown to hold for the Ruelle algebras associated to irreducible Smale spaces. This had previously been proved only for shifts of finite type. Implications of this result as well as relations to the Baum–Connes conjecture and other topics are also considered.</description><issn>0075-4102</issn><issn>1435-5345</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNp1j8tOwzAQRS0EEqWwZ5kfMIwfUydLqHiJSmxgbTkTm6ZymspOhfL3JCpbVnM10rm6h7FbAXcCBd5T8jF6LkFoDkKuzthCaIUclcZztgAwyLUAecmuct4BAAojF0y_82Hr--SHlorm6GI7jEXoU7EdDz7VfZzf4951LblY5DEPvsvX7CK4mP3N312yr-enz_Ur33y8vK0fNpx0qQeOzoVKNlgHX3uqdQDtSjLCIUqltKSGHJlKoqwropUppQgkdWlqLEWjQC0ZnHop9TknH-whtZ1LoxVgZ2t7sraztZ2tJ-TxhPy4OPjU-O90HKdgd_0x7aex_6JTMEbB1KF-AREhYjU</recordid><startdate>20170901</startdate><enddate>20170901</enddate><creator>Kaminker, Jerome</creator><creator>Putnam, Ian F.</creator><creator>Whittaker, Michael F.</creator><general>De Gruyter</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20170901</creationdate><title>K-theoretic duality for hyperbolic dynamical systems</title><author>Kaminker, Jerome ; Putnam, Ian F. ; Whittaker, Michael F.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c484t-5aaf92d5bfebecb4f04a8c71a5523342cdcac79252b9cc67821fc2487b581d303</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kaminker, Jerome</creatorcontrib><creatorcontrib>Putnam, Ian F.</creatorcontrib><creatorcontrib>Whittaker, Michael F.</creatorcontrib><collection>CrossRef</collection><jtitle>Journal für die reine und angewandte Mathematik</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kaminker, Jerome</au><au>Putnam, Ian F.</au><au>Whittaker, Michael F.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>K-theoretic duality for hyperbolic dynamical systems</atitle><jtitle>Journal für die reine und angewandte Mathematik</jtitle><date>2017-09-01</date><risdate>2017</risdate><volume>2017</volume><issue>730</issue><spage>263</spage><epage>299</epage><pages>263-299</pages><issn>0075-4102</issn><eissn>1435-5345</eissn><abstract>The K-theoretic analog of Spanier–Whitehead duality for noncommutative -algebras is shown to hold for the Ruelle algebras associated to irreducible Smale spaces. This had previously been proved only for shifts of finite type. Implications of this result as well as relations to the Baum–Connes conjecture and other topics are also considered.</abstract><pub>De Gruyter</pub><doi>10.1515/crelle-2014-0126</doi><tpages>37</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0075-4102
ispartof Journal für die reine und angewandte Mathematik, 2017-09, Vol.2017 (730), p.263-299
issn 0075-4102
1435-5345
language eng
recordid cdi_crossref_primary_10_1515_crelle_2014_0126
source De Gruyter journals
title K-theoretic duality for hyperbolic dynamical systems
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-01T00%3A42%3A02IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-walterdegruyter_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=K-theoretic%20duality%20for%20hyperbolic%20dynamical%20systems&rft.jtitle=Journal%20f%C3%BCr%20die%20reine%20und%20angewandte%20Mathematik&rft.au=Kaminker,%20Jerome&rft.date=2017-09-01&rft.volume=2017&rft.issue=730&rft.spage=263&rft.epage=299&rft.pages=263-299&rft.issn=0075-4102&rft.eissn=1435-5345&rft_id=info:doi/10.1515/crelle-2014-0126&rft_dat=%3Cwalterdegruyter_cross%3E10_1515_crelle_2014_01262017730263%3C/walterdegruyter_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true