REALIZATION OF RIGID C*-TENSOR CATEGORIES VIA TOMITA BIMODULES
文献类型：期刊论文
| 作者 | Giorgetti, Luca2,4; Yuan, Wei1,3
|
| 刊名 | JOURNAL OF OPERATOR THEORY
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000474342700007 |
| 出版者 | THETA FOUNDATION |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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