REALIZATION OF RIGID C*-TENSOR CATEGORIES VIA TOMITA BIMODULES

doi:10.7900/jot.2018mar08.2219

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	*REALIZATION OF RIGID C-TENSOR CATEGORIES VIA TOMITA BIMODULES**
	Giorgetti, Luca 1,2; Yuan, Wei3,4
	2019-03-01
发表期刊	JOURNAL OF OPERATOR THEORY
ISSN	0379-4024
卷号	81 期号:2 页码:433-479
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.
关键词	C-tensor category pre-Hilbert C-bimodule full Fock space construction free group factor
DOI	10.7900/jot.2018mar08.2219
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000474342700007
出版者	THETA FOUNDATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35064
专题	数学所
通讯作者	Giorgetti, Luca
作者单位	1.Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy 2.Sapienza Univ Roma, Dipartimento Matemat Guido Castelnuovo, Piazzale Aldo Moro 5, I-00185 Rome, Italy 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
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.