REALIZATION OF RIGID C*-TENSOR CATEGORIES VIA TOMITA BIMODULES

doi:10.7900/jot.2018mar08.2219

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 数学所

	*REALIZATION OF RIGID C-TENSOR CATEGORIES VIA TOMITA BIMODULES**
	Giorgetti, Luca 2,4; Yuan, Wei1,3
刊名	JOURNAL OF OPERATOR THEORY
	2019-03-01
卷号	81 期号:2 页码:433-479
关键词	C-tensor category pre-Hilbert C-bimodule full Fock space construction free group factor
ISSN号	0379-4024
DOI	10.7900/jot.2018mar08.2219
英文摘要	Starting from a (small) rigid C*-tensor category l with simple unit, we construct von Neumann algebras. These algebras are factors of type II or III lambda, lambda is an element of (0, 1]. The choice of type is tuned by the choice of Tomita structure (defined in the paper) on certain bimodules we use in the construction. If the spectrum is infinite we realize the whole tensor category as endomorphisms of these algebras. Furthermore, if the Tomita structure is trivial, the algebras that we get are an amplification of the free group factors with infinitely (possibly uncountably) many generators.
资助项目	Youth Innovation Promotion Association, CAS[11871303] ; Youth Innovation Promotion Association, CAS[11871127] ; NSFC[11871303] ; NSFC[11871127] ; ERC Advanced Grant[QUEST 669240] ; MIUR Excellence Department Project[CUP E83C18000100006]
WOS研究方向	Mathematics
语种	英语
出版者	THETA FOUNDATION
WOS记录号	WOS:000474342700007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/35063]
专题	数学所
通讯作者	Giorgetti, Luca
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Sapienza Univ Roma, Dipartimento Matemat Guido Castelnuovo, Piazzale Aldo Moro 5, I-00185 Rome, Italy
推荐引用方式 GB/T 7714	Giorgetti, Luca,Yuan, Wei. REALIZATION OF RIGID C*-TENSOR CATEGORIES VIA TOMITA BIMODULES[J]. JOURNAL OF OPERATOR THEORY,2019,81(2):433-479.
APA	Giorgetti, Luca,&Yuan, Wei.(2019).REALIZATION OF RIGID C*-TENSOR CATEGORIES VIA TOMITA BIMODULES.JOURNAL OF OPERATOR THEORY,81(2),433-479.
MLA	Giorgetti, Luca,et al."REALIZATION OF RIGID C*-TENSOR CATEGORIES VIA TOMITA BIMODULES".JOURNAL OF OPERATOR THEORY 81.2(2019):433-479.