2024 Haagerup subfactor

Haagerup subfactor

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August undefined, 2024

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 …

[PDF] The Asaeda–Haagerup fusion categories Semantic Scholar

WebApr 15, 2014 · In this paper we construct two new fusion categories and many new subfactors related to the exceptional Extended Haagerup subfactor. The Extended … WebUffe 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, … frozen dreams moe lane

arXiv:1302.5148v2 [math.OA] 15 Oct 2013

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 … WebMar 1, 2012 · In addition to the two even parts of the Haagerup subfactor, there is exactly one more fusion category which is Morita equivalent to each of them. This third fusion category has six simple objects and the same fusion rules as one of the even parts of the Haagerup subfactor, but has not previously appeared in the literature. giants bengals history

The Haagerup property is stable under graph products

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

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 … 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). frozen dreams llcWebJan 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 … giants bengals score

"WebJun 15, 2024 · Apart from possibly A ∞, between 4 and 5 there are exactly 10 standard invariants corresponding to the Haagerup subfactor, the Asaeda–Haagerup subfactor, the extended Haagerup subfactor, a GHJ subf a ctor at index 3 + √3 ≃ 4.73205 from the pair A 11 and E 6 and Izumi–Xu at index (5 + √21)/2 ≃ 4.79129 derived from a GHJ style G … " - Haagerup subfactor

Haagerup subfactor

WebFeb 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 … WebFeb 20, 2012 · We prove that the Brauer-Picard group of Morita autoequiv- alences of each of the three fusion categories which arise as an even part of the Asaeda-Haagerup subfactor or of its index 2 extension is the Klein four-group. We describe the 36 bimodule categories which occur in the full subgroupoid of the Brauer-Picard groupoid on these …

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WebMay 29, 2013 · The Haagerup property, which is a strong converse of Kazhdan's property $(T)$, has translations and applications in various fields of mathematics such as … 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 ...

Webdepth 6, with one exception, the principal graph of the Haagerup subfactor. A II 1 subfactor is an inclusion AˆBof in nite von Neumann algebras with trivial centre and a compatible trace with tr(1) = 1. In this setting, one can analyze the bimodules generated by AB B and BB A. The principal graph of a subfactor has as vertices the WebSep 26, 2012 · We construct a new subfactor planar algebra, and as a corollary a new subfactor, with the ‘extended Haagerup’ principal graph pair. This completes the …

http://web.math.ku.dk/~haagerup/index.php?show=all 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 …

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

WebIn my dissertation, I used planar algebras to construct the Haagerup subfactor, and also to find a non-standard embedding (I use this term loosely) of the Haagerup planar algebra … frozen dreams bookWebApr 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 frozen dreams menuWebThe 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 ... giants bengals predictionWebJun 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... frozen dreams stardewWebSep 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 … frozen dreams san antonio txWeba subfactor. The same approach was used in [17] to construct, and thoroughly analyze, the D 2n planar algebra. The rst new subfactor constructed in this way was the extended Haagerup subfactor [1]. As in the E 8 case, the D 2n planar algebra is de ned by a single uncappable generator and a list of relations, including a braiding relation of the ... frozen dress 2tWebOct 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. frozen drawings to color