Haagerup subfactor
WebTo 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 … 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 …
Haagerup subfactor
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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. 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, …
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
Weba 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 ... 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 …
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 …
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 … seth cavettWebThe 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 ... seth c. bowenWebIn 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 … the thinker in frenchWebWe 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. the thinker iqWebMar 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. the thinker iconWebApr 15, 2014 · In this paper we construct two new fusion categories and many new subfactors related to the exceptional Extended Haagerup subfactor. The Extended … seth cbsWebJan 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 … seth cervin