上海市自然科学基金(09ZR1402000)

作品数：3被引量：2H指数：1
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Banach Algebra Dynamical Systems被引量：2
《Chinese Annals of Mathematics,Series B》2014年第2期285-300,共16页Dong LI Shengzhi XU 
supported by the National Natural Science Foundation of China(No.10971023);the Shanghai Natural Science Foundation of China(No.09ZR1402000)
Abstract This paper generalizes the C＊-dynamical system to the Banach algebra dynam- ical system （A, G, α） and define the crossed product A αG of a given Banach algebra dynamical system （A, G,α）. Then the re...
关键词：Banach algebra dynamical systems REPRESENTATION Crossed product Left multiplier Reduced crossed product 
The φ-Group for n Submodules Systems as a Generalization of the K-Theory
《Chinese Annals of Mathematics,Series B》2014年第1期101-114,共14页Dong LI Xiaoman CHEN Shengzhi XU 
Project supported by the National Natural Science Foundation of China(Nos.11231002,10971023);the Shanghai Natural Science Foundation(No.09ZR1402000)
In this paper,the authors construct a φ-group for n submodules,which generalizes the classical K-theory and gives more information than the classical ones.This theory is related to the classification theory for indec...
关键词：System of n subspaces System of n submodules Ф-Group K-THEORY Indecomposable system 
Thompson's Group and the Linear Group GL_∞(Z)
《Chinese Annals of Mathematics,Series B》2011年第6期863-884,共22页Yan WU Xiaoman CHEN 
supported by the National Natural Science Foundation of China (No. 10731020);the Shanghai Natural Science Foundation of China (No. 09ZR1402000)
The authors study the finite decomposition complexity of metric spaces of H, equipped with different metrics, where H is a subgroup of the linear group GL∞（E）. It is proved that there is an injective Lipschitz map...
关键词：Finite decomposition complexity Thompson＇s group F Word-metric Lipschitz map Reduced tree diagram 
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