The Structure of the Observable Algebra Determined by a Hopf *-Subalgebra in Hopf Spin Models

doi:10.2298/FIL2102485W

CSpace

	*The Structure of the Observable Algebra Determined by a Hopf -Subalgebra in Hopf Spin Models**
	Wei, Xiaomin 1,2; Jiang, Lining 2; Xin, Qiaoling 3
	2021
发表期刊	FILOMAT
ISSN	0354-5180
卷号	35 期号:2 页码:485-500
摘要	Let H be a finite dimensional Hopf C-algebra, H-1 a Hopf -subalgebra of H. This paper focuses on the observable algebra A(H1) determined by H-1 in nonequilibrium Hopf spin models, in which there is a copy of H-1 on each lattice site, and a copy of (H) over cap on each link, where (H) over cap denotes the dual of H. Furthermore, using the iterated twisted tensor product of finite -algebras, one can prove that the observable algebra A(H1) is -isomorphic to the C*-inductive limit center dot center dot center dot (sic) H-1 (sic) (H) over cap (sic) H-1 (sic) (H) over cap (sic) H-1 (sic)center dot center dot center dot.
关键词	The observable algebra twisted tensor product C*-inductive limit
DOI	10.2298/FIL2102485W
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11871303] ; National Natural Science Foundation of China[11701423]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000711646100011
出版者	UNIV NIS, FAC SCI MATH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59490
专题	中国科学院数学与系统科学研究院
通讯作者	Jiang, Lining
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China 3.Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China
推荐引用方式 GB/T 7714	Wei, Xiaomin,Jiang, Lining,Xin, Qiaoling. The Structure of the Observable Algebra Determined by a Hopf *-Subalgebra in Hopf Spin Models[J]. FILOMAT,2021,35(2):485-500.
APA	Wei, Xiaomin,Jiang, Lining,&Xin, Qiaoling.(2021).The Structure of the Observable Algebra Determined by a Hopf *-Subalgebra in Hopf Spin Models.FILOMAT,35(2),485-500.
MLA	Wei, Xiaomin,et al."The Structure of the Observable Algebra Determined by a Hopf *-Subalgebra in Hopf Spin Models".FILOMAT 35.2(2021):485-500.