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Haagerup subfactor

WebU. Haagerup and E. Størmer, Subfactors of a factor of type III-lambda, which contain a maximal centralizer, International Journal Math. 6, 273-277 (1995). U. Haagerup and T. Itoh, Grothendieck type inequalities for bilinear forms on C*-algebras, J. Operator theory 34, 263-283 (1995). WebJan 29, 2015 · The first subfactor above index 4, the Haagerup subfactor, is increasingly well understood and appears to lie in a (discrete) infinite family of subfactors where the …

Conferences – Center for Noncommutative Geometry and …

Uffe Haagerup's mathematical focus has been on the fields of operator algebra, group theory and geometry, but his publications has a broad scope and also involves free probability theory and random matrices. He has participated in many international mathematical groups and networks from early on, and has worked as ordinary contributor and participator, organizer, lecturer and editor. WebApr 1, 2024 · Request PDF On Apr 1, 2024, Markus Rüther and others published Human Enhancement: Deontological Arguments Find, read and cite all the research you need on ResearchGate i think i have been scammed what do i do https://josephpurdie.com

A PLANAR ALGEBRA CONSTRUCTION OF THE HAAGERUP …

WebHaagerup’s original result did not specify which of the possible principal graphs are actually realized. Considerable progress has since been made in this direction. Asaeda and Haagerup [2] proved the existence and uniqueness of a subfactor pla-nar algebra whose principal graphs are H0 (called the Haagerup subfactor), and WebJan 11, 2024 · The simplest example that requires new techniques for building a CFT is the Haagerup subfactor, since it is the smallest subfactor with index larger than 4. In this thesis, we investigate the question whether there is a CFT corresponding to the Haagerup subfactor via lattice models in one and two dimensions. The first task here is to find the … WebJan 25, 2012 · The Haagerup subfactor is the smallest index finite depth subfactor which does not occur in one of these families. In this paper we construct the planar algebra … neffex best of me song mp3 download

[1501.07324] The Asaeda-Haagerup fusion categories - arXiv.org

Category:Principals graphs for which there must be an intermediate subfactor ...

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Haagerup subfactor

Conferences – Center for Noncommutative Geometry and …

WebSep 30, 2024 · Abstract. We compute the modular data (that is, the S and T matrices) for the centre of the extended Haagerup subfactor [ BMPS12 ]. The full structure (i.e., the … WebThe Extended Haagerup subfactor has two even parts EH1 and EH2. These fusion categories are mysterious and are the only known fusion categories which appear to be unrelated to finite groups ...

Haagerup subfactor

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WebOct 14, 2024 · The Extended Haagerup subfactor has two even parts EH1 and EH2. These fusion categories are mysterious and are the only known fusion categories which appear to be unrelated to finite groups, quantum groups, or Izumi quadratic categories. One key technique which has previously revealed hidden structure in fusion categories is to study … WebIn [AH99] Asaeda and Haagerup constructed two “exotic” subfactors, which were the first examples of subfactors not coming from groups or quantum groups in an …

WebThe Haagerup subfactor is the smallest index finite depth subfactor which does not occur in one of these families. In this paper we construct the planar algebra associated … WebIn mathematics, the Haagerup property, named after Uffe Haagerup and also known as Gromov's a-T-menability, is a property of groups that is a strong negation of Kazhdan's …

WebWe show that this is not the case: in particular, one of the fusion categories coming from the Haagerup subfactor and one coming from the newly constructed extended Haagerup subfactor cannot be completely defined over a cyclotomic field. WebOct 24, 2024 · This classification was initiated by Uffe Haagerup. It uses (among other things) a listing of possible principal graphs, together with the embedding theorem and the jellyfish algorithm. A subfactor planar algebra remembers the subfactor (i.e. its standard invariant is complete) if it is amenable.

WebJun 7, 2010 · The quantum double of the Haagerup subfactor, the first irreducible finite depth subfactor with index above 4, is the most obvious candidate for exotic modular data. We show that its modular data...

Web2.20 The Haagerup subfactor The Haagerup subfactor [AH99] is a finite-depth subfactor with index 5+ √ 13 2; this is the smallest index above 4 for any finite depth … i think i have been ratedi think i have bipolar depressionWebFeb 1, 2010 · Etingof, Nikshych and Ostrik ask in arXiv:math.QA/0203060 if every fusion category can be completely defined over a cyclotomic field. We show that this is not the case: in particular one of the fusion categories coming from the Haagerup subfactor arXiv:math.OA/9803044 and one coming from the newly constructed extended … neffex best of me 和訳Webof a subfactor N ⊂ M is given by theory of bimodules. A subfactor N ⊂ M gives a bimodule NMN. (We should actually take a Hilbert space completion of M.) We take a relative tensor power of NMN and look at irreducible N-N bimodules arising in this way. If we have only finitely many such bimodules, we say the subfactor is of finite depth. neffex believe roblox id codeWebTo date, the best way of constructing these subfactors is to stumble upon a finite bipartite graph which doesn't appear as a fusion graph determine if it can be a principal … neffex best of me textWebTo construct the extended Haagerup subfactor, we start with the graph planar algebra of its principal graph eH. GPA(eH) 8;+ is 148475-dimensional; luckily the subspace X of uncappable, ˆ= 1 elements of GPA(eH) 8;+ is only 19-dimensional. Unluckily, it is not natural in our given basis. We nd an element S 2X which further satis es S S 8 8 8 = f ... neffex - best of meWebUffe Haagerup, University of Southern Denmark (Odense), Invariant Subspaces for Operators in II 1 Factors. Vaughan Jones, UC Berkeley, Shanks Lecture: A Trip to the Subfactor Circus. Mini-Coures: A Short Course in Planar Algebra. Narutaka Ozawa, University of Tokyo and UCLA, Hyperbolic Groups and Type II 1 Factors. Sorin Popa, … neffex best of me tekst