The C*-algebra index for observable algebra in non-equilibrium Hopf spin models

doi:10.1007/s43034-022-00215-3

	*The C-algebra index for observable algebra in non-equilibrium Hopf spin models**
	Wei, Xiaomin 1; Jiang, Lining 2
刊名	ANNALS OF FUNCTIONAL ANALYSIS
	2022-10-01
卷号	13 期号:4 页码:13
关键词	Observable algebra Quantum double Quasi-basis Index
ISSN号	2639-7390
DOI	10.1007/s43034-022-00215-3
英文摘要	Denote by H a finite dimensional Hopf C-algebra, K a Hopf -subalgebra of H. Starting with the observable algebra A(K) in non-equilibrium Hopf spin models, in which A(K) carries a coaction of relative quantum double D(H, K), the field algebra F K = A(K) x <(D(H, K))over cap> is obtained, where <(D(H, K))over cap> is the dual of D(H, K). This paper shows that the Haar integral of D(H, K) admits a faithful conditional expectation Gamma from F-K onto A(K). The index of Gamma is calculated by virtue of its quasi-basis provided by the matrix units of <(D(H, K))over cap>.
资助项目	National Natural Science Foundation of China[11871303]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER BASEL AG
WOS记录号	WOS:000863832500001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60847]
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, Inst Math, Beijing 100190, Peoples R China 2.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
推荐引用方式 GB/T 7714	Wei, Xiaomin,Jiang, Lining. The C*-algebra index for observable algebra in non-equilibrium Hopf spin models[J]. ANNALS OF FUNCTIONAL ANALYSIS,2022,13(4):13.
APA	Wei, Xiaomin,&Jiang, Lining.(2022).The C*-algebra index for observable algebra in non-equilibrium Hopf spin models.ANNALS OF FUNCTIONAL ANALYSIS,13(4),13.
MLA	Wei, Xiaomin,et al."The C*-algebra index for observable algebra in non-equilibrium Hopf spin models".ANNALS OF FUNCTIONAL ANALYSIS 13.4(2022):13.