Some Cuntz Semigroup Properties of Certain Crossed Product <inline-formula><alternatives><mml:math id="M1"><mml:mi mathvariant="bold-italic">C</mml:mi><mml:mi mathvariant="normal">*</mml:mi><mml:mo>‒</mml:mo></mml:math><graphic specific-use="big" xlink:href="alternativeImage/BA6D2C12-8619-48b4-BCB3-A7A60D19481A-M001.jpg"><?fx-imagestate width="7.02733326" height="3.21733332"?></graphic><graphic specific-use="small" xlink:href="alternativeImage/BA6D2C12-8619-48b4-BCB3-A7A60D19481A-M001c.jpg"><?fx-imagestate width="7.02733326" height="3.21733332"?></graphic></alternatives></inline-formula> Algebras

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

Home > Archive>Volume 49, Issue 5, 2021 >745-750. DOI:10.11908/j.issn.0253-374x.21018

Some Cuntz Semigroup Properties of Certain Crossed Product C*‒ Algebras
DOI:
                        10.11908/j.issn.0253-374x.21018
                    
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Author:
                        YANG Jun1,2YANG Jun
Department of Mathematics， Tongji University， Shanghai 200092， China;Department of Mathematics， Shanghai Maritime University， Shanghai 201306， China
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FANG Xiaochun1FANG Xiaochun
Department of Mathematics， Tongji University， Shanghai 200092， China
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FAN Qingzhai2FAN Qingzhai
Department of Mathematics， Shanghai Maritime University， Shanghai 201306， China
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Affiliation:1.Department of Mathematics， Tongji University， Shanghai 200092， China;2.Department of Mathematics， Shanghai Maritime University， Shanghai 201306， China
Clc Number:O177
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Abstract:

Let A be a unital simple C*?algebra such that A has the k?locally almost divisible property （or UCFPn(W(A))=m ）. Suppose that α:G→Aut(A) 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) has the k?locally almost divisible property （or UCFPn(W(C*(G,A,α)))=m）.

Key words:C*‒algebras;tracial approximation C*‒algebras;Cuntz semigroup

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YANG Jun, FANG Xiaochun, FAN Qingzhai. Some Cuntz Semigroup Properties of Certain Crossed Product C*‒ Algebras[J].同济大学学报(自然科学版),2021,49(5):745~750

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Received:January 11,2021
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Online: May 24,2021
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