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Hilbert双模的乘子双模 被引量:1
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作者 方小春 《同济大学学报(自然科学版)》 EI CAS CSCD 北大核心 1998年第1期1-4,共4页
引进了A-BHilbert双模X及其乘子M(X)的定义,通过对Hilbert双模的研究,成功地得到了乘子M(X)作为M(A)-M(B)Hilbert模的结构.
关键词 Hilbert 乘子双模 严格拓扑
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Diagonal crossed product of multiplier Hopf algebras
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作者 Yan Dongdong Wang Shuanhong 《Journal of Southeast University(English Edition)》 EI CAS 2020年第2期241-244,共4页
Let A and B be two regular multiplier Hopf algebras.First,the notion of diagonal crossed product B#A of multiplier Hopf algebras is constructed using the bimodule algebra,which is a generalization of the diagonal cros... Let A and B be two regular multiplier Hopf algebras.First,the notion of diagonal crossed product B#A of multiplier Hopf algebras is constructed using the bimodule algebra,which is a generalization of the diagonal crossed product in the sense of Hopf algebras.The result that the product in B#A is non-degenerate is given.Next,the definition of the comultiplicationΔ#on B#A is introduced,which is composed of the multiplierΔB(b)on B⊗B and the multiplierΔA(a)on A⊗A,and the elementΔ#(b⊗a)is a two-side multiplier of B#A⊗B#A,for any b∈B and a∈A.Then,a sufficient condition for B#A to be a regular multiplier Hopf algebra is described.In particular,Delvaux's main theorem in the case of smash products is generalized.Finally,these integrals on a diagonal crossed product of multiplier Hopf algebras are considered. 展开更多
关键词 multiplier Hopf algebra bimodule algebra diagonal crossed product
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THE REALIZATION OF MULTIPLIER HILBERT BIMODULE ON BIDUAL SPACE AND TIETZE EXTENSION THEOREM 被引量:1
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作者 FANG XIAOCHUN(Department of Mathematics, Tongji University, Shanghai 200092, China) E-mail: xfang@online.sh.cn 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2000年第3期375-380,共6页
The multiplier bimodule of Hilbert bimodule is introduced in a way similar to [1], and its realization on a quotient of bidual space and Tietze extension theorem are obtained similar to that in C-algebra case. As a re... The multiplier bimodule of Hilbert bimodule is introduced in a way similar to [1], and its realization on a quotient of bidual space and Tietze extension theorem are obtained similar to that in C-algebra case. As a result, the multiplier bimodule here is also a Hilbert bimodule. 展开更多
关键词 Realization on bidual space Multiplier Hilbert bimodule Tietze extension theorem
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