CSpace  > 数学所
REALIZATION OF RIGID C*-TENSOR CATEGORIES VIA TOMITA BIMODULES
Giorgetti, Luca1,2; Yuan, Wei3,4
2019-03-01
Source PublicationJOURNAL OF OPERATOR THEORY
ISSN0379-4024
Volume81Issue:2Pages:433-479
AbstractStarting 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.
KeywordC*-tensor category pre-Hilbert C*-bimodule full Fock space construction free group factor
DOI10.7900/jot.2018mar08.2219
Language英语
Funding ProjectYouth 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 Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000474342700007
PublisherTHETA FOUNDATION
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/35064
Collection数学所
Corresponding AuthorGiorgetti, Luca
Affiliation1.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
Recommended Citation
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Giorgetti, Luca]'s Articles
[Yuan, Wei]'s Articles
Baidu academic
Similar articles in Baidu academic
[Giorgetti, Luca]'s Articles
[Yuan, Wei]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Giorgetti, Luca]'s Articles
[Yuan, Wei]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.