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
                    
CSTR:
                        [cstr]
                    
Author:
                        
                        
                    
Affiliation:1.Department of Mathematics， Tongji University， Shanghai 200092， China;2.Department of Mathematics， Shanghai Maritime University， Shanghai 201306， China
Clc Number:O177
Fund Project:

Article

Figures

Metrics

Reference

Cited by

Materials

Comments

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）.

Reference

Cited by

Get Citation

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

Copy

Article Metrics

Abstract:
PDF:
HTML:
Cited by:

History

Received:January 11,2021
Revised:
Adopted:
Online: May 24,2021
Published:

Get Citation

Share

Article Metrics

History

Article QR Code