Comparison Properties for Asymptotically Tracially Approximation C-algebras
We show that the following properties of the C *-algebras in a class P are inherited by simple unital C *-algebras in the class of asymptotically tracially in P : (1) n -comparison, (2) α-comparison (1 ≤ α < ∞).
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| Veröffentlicht in: | Acta mathematica Sinica. English series 2023-05, Vol.39 (5), p.863-884 |
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| container_issue | 5 |
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| container_title | Acta mathematica Sinica. English series |
| container_volume | 39 |
| creator | Fan, Qing Zhai Fang, Xiao Chun |
| description | We show that the following properties of the
C
*-algebras in a class
P
are inherited by simple unital
C
*-algebras in the class of asymptotically tracially in
P
: (1)
n
-comparison, (2) α-comparison (1 ≤ α < ∞). |
| doi_str_mv | 10.1007/s10114-023-1662-4 |
| format | Article |
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C
*-algebras in a class
P
are inherited by simple unital
C
*-algebras in the class of asymptotically tracially in
P
: (1)
n
-comparison, (2) α-comparison (1 ≤ α < ∞).</description><identifier>ISSN: 1439-8516</identifier><identifier>EISSN: 1439-7617</identifier><identifier>DOI: 10.1007/s10114-023-1662-4</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Algebra ; Asymptotic properties ; Mathematics ; Mathematics and Statistics</subject><ispartof>Acta mathematica Sinica. English series, 2023-05, Vol.39 (5), p.863-884</ispartof><rights>Springer-Verlag GmbH Germany & The Editorial Office of AMS 2023</rights><rights>Springer-Verlag GmbH Germany & The Editorial Office of AMS 2023.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c268t-1ba546cc49778e272a0a186323c0d624253d0aaefae8750c26ef541c25bff0d33</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/s10114-023-1662-4$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10114-023-1662-4$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51297</link.rule.ids></links><search><creatorcontrib>Fan, Qing Zhai</creatorcontrib><creatorcontrib>Fang, Xiao Chun</creatorcontrib><title>Comparison Properties for Asymptotically Tracially Approximation C-algebras</title><title>Acta mathematica Sinica. English series</title><addtitle>Acta. Math. Sin.-English Ser</addtitle><description>We show that the following properties of the
C
*-algebras in a class
P
are inherited by simple unital
C
*-algebras in the class of asymptotically tracially in
P
: (1)
n
-comparison, (2) α-comparison (1 ≤ α < ∞).</description><subject>Algebra</subject><subject>Asymptotic properties</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><issn>1439-8516</issn><issn>1439-7617</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp1kEtPwzAQhC0EEqXwA7hF4mzY9TM9VhEvUQkO5Wy5rlOlSutgpxL597ikEidOO4f5ZkdDyC3CPQLoh4SAKCgwTlEpRsUZmaDgM6oV6vOTLiWqS3KV0hZAyhmoCXmrwq6zsUlhX3zE0PnYNz4VdYjFPA27rg9942zbDsUyWtf8qnnXxfDd7GzfZKqitt34VbTpmlzUtk3-5nSn5PPpcVm90MX782s1X1DHVNlTXFkplHNipnXpmWYWLJaKM-5grZhgkq_BWl9bX2oJGfK1FOiYXNU1rDmfkrsxN9f4OvjUm204xH1-aVjJBAghlMouHF0uhpSir00Xc-c4GARz3MyMm5m8mTluZkRm2Mik7N1vfPxL_h_6ARhXbxY</recordid><startdate>20230501</startdate><enddate>20230501</enddate><creator>Fan, Qing Zhai</creator><creator>Fang, Xiao Chun</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20230501</creationdate><title>Comparison Properties for Asymptotically Tracially Approximation C-algebras</title><author>Fan, Qing Zhai ; Fang, Xiao Chun</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c268t-1ba546cc49778e272a0a186323c0d624253d0aaefae8750c26ef541c25bff0d33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Algebra</topic><topic>Asymptotic properties</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Fan, Qing Zhai</creatorcontrib><creatorcontrib>Fang, Xiao Chun</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Acta mathematica Sinica. English series</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Fan, Qing Zhai</au><au>Fang, Xiao Chun</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Comparison Properties for Asymptotically Tracially Approximation C-algebras</atitle><jtitle>Acta mathematica Sinica. English series</jtitle><stitle>Acta. Math. Sin.-English Ser</stitle><date>2023-05-01</date><risdate>2023</risdate><volume>39</volume><issue>5</issue><spage>863</spage><epage>884</epage><pages>863-884</pages><issn>1439-8516</issn><eissn>1439-7617</eissn><abstract>We show that the following properties of the
C
*-algebras in a class
P
are inherited by simple unital
C
*-algebras in the class of asymptotically tracially in
P
: (1)
n
-comparison, (2) α-comparison (1 ≤ α < ∞).</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s10114-023-1662-4</doi><tpages>22</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1439-8516 |
| ispartof | Acta mathematica Sinica. English series, 2023-05, Vol.39 (5), p.863-884 |
| issn | 1439-8516 1439-7617 |
| language | eng |
| recordid | cdi_proquest_journals_2824044466 |
| source | SpringerLink Journals; Alma/SFX Local Collection |
| subjects | Algebra Asymptotic properties Mathematics Mathematics and Statistics |
| title | Comparison Properties for Asymptotically Tracially Approximation C-algebras |
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