Submodules of the groupoid C~*-algebra  

Submodules of the groupoid C~*-algebra

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作  者:严绍宗 陈晓漫 徐胜芝 

出  处:《Science China Mathematics》1998年第4期379-385,共7页中国科学:数学(英文版)

基  金:ProjectsupportedpartiallybytheNationalNaturalScienceFoundationofChina ;FokYingtungEducationalFoundation ;theFoundationofStateEducationCommissionofChinaandtheLab .ofMath .forNonlinearScienceatFudanUniversity .

摘  要:Given an r-discrete, principal and amenable groupoid, the bijective correspondence between the family c the closedC o(G 0)-bimodules ofC(G) and the family of the open subsets of the groupoidG is established. More over they are rigidity.Given an r discrete, principal and amenable groupoid, the bijective correspondence between the family of the closed C 0(G 0) bimodules of C *(G) and the family of the open subsets of the groupoid G is established. Moreover they are rigidity.

关 键 词:GROUPOID C * ALGEBRA G SET BIMODULE RIGIDITY 

分 类 号:O177.5[理学—数学]

 

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