DOI: 10.11908/j.issn.0253-374x.21018

作者:

作者单位: 1.同济大学 数学系，上海 200092;2.上海海事大学 数学系，上海 201306


作者简介: 杨 君（1981—)，女，讲师，理学博士，主要研究方向为算子理论与算子代数。 E-mail:junyang@shmtu.edu.cn


通讯作者:

中图分类号: O177


基金项目: 国家自然科学基金（11501357,11871375）




Some Cuntz Semigroup Properties of Certain Crossed Product C*?<?fx-imagestate width="7.02733326" height="3.21733332"?><?fx-imagestate width="7.02733326" height="3.21733332"?> Algebras
Author:

Affiliation: 1.Department of Mathematics， Tongji University， Shanghai 200092， China;2.Department of Mathematics， Shanghai Maritime University， Shanghai 201306， China


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摘要:设A<?fx-imagestate width="2.45533323" height="2.37066674"?><?fx-imagestate width="2.45533323" height="2.37066674"?>是一个无限维的有单位元并且具有k ?<?fx-imagestate width="3.72533321" height="2.37066674"?><?fx-imagestate width="3.72533321" height="2.37066674"?>局部几乎可除性质的（或者是UCFPn(W(A))=m<?fx-imagestate width="28.36333275" height="3.81000018"?><?fx-imagestate width="28.36333275" height="3.81000018"?>）的C*?<?fx-imagestate width="5.33399963" height="2.37066674"?><?fx-imagestate width="5.33399963" height="2.37066674"?>代数。α:G→Aut(A)<?fx-imagestate width="20.40466690" height="3.04799986"?><?fx-imagestate width="20.40466690" height="3.04799986"?>是有限群G<?fx-imagestate width="2.37066674" height="2.37066674"?><?fx-imagestate width="2.37066674" height="2.37066674"?>作用在C*?<?fx-imagestate width="5.33399963" height="2.37066674"?><?fx-imagestate width="5.33399963" height="2.37066674"?>代数A<?fx-imagestate width="2.45533323" height="2.37066674"?><?fx-imagestate width="2.45533323" height="2.37066674"?>上，并且作用具有迹Rokhlin性质。则交叉积C*?<?fx-imagestate width="5.33399963" height="2.37066674"?><?fx-imagestate width="5.33399963" height="2.37066674"?>代数C*(G,A,α)<?fx-imagestate width="16.17133331" height="3.04799986"?><?fx-imagestate width="16.17133331" height="3.04799986"?>具有k ?<?fx-imagestate width="3.72533321" height="2.37066674"?><?fx-imagestate width="3.72533321" height="2.37066674"?>局部几乎可除性质（或者是UCFPn(W(C*(G,A,α)))=m<?fx-imagestate width="41.90999985" height="4.06400013"?><?fx-imagestate width="41.90999985" height="4.06400013"?>）。



Abstract:Let A be a unital simple C*?algebra such that A has the k?locally almost divisible property （or UCFPn(W(A))=m<?fx-imagestate width="28.36333275" height="3.81000018"?><?fx-imagestate width="28.36333275" height="3.81000018"?> ）. Suppose that α:G→Aut(A)<?fx-imagestate width="20.40466690" height="3.04799986"?><?fx-imagestate width="20.40466690" height="3.04799986"?> is an action of a finite group G on A which has the tracial Rokhlin property. Then the crossed product C*?algebra C*(G,A,α)<?fx-imagestate width="16.08666611" height="3.21733332"?><?fx-imagestate width="16.08666611" height="3.21733332"?> has the k?locally almost divisible property （or UCFPn(W(C*(G,A,α)))=m<?fx-imagestate width="41.90999985" height="4.06400013"?><?fx-imagestate width="41.90999985" height="4.06400013"?>）.





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