Index for subfactors
WebSubfactors with index less than 4 always have trivial centralizers, (or relative commutants), i.e. the only elements of the factor which commute with every element of the subfactor … Web22 apr. 2013 · Recently the classification of subfactors has been extended up to index 5, and (outside of the infinite families) there are only 10 subfactors of index between 4 and 5.
Index for subfactors
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WebIndex for subfactors SpringerLink Home Inventiones mathematicae Article Published: February 1983 Index for subfactors V. F. R. Jones Inventiones mathematicae 72 , 1–25 ( 1983) Cite this article 2127 Accesses 1004 Citations 6 Altmetric Metrics Download to … Web1 dec. 1990 · Conjugate but non inner conjugate subfactors M. Choda Mathematics, Chemistry 1996 It is shown that for each r E {4cos2 (ir/n): n > 3} U [4, oc), there exist at least infinitely many subfactors of the hyperfinite II1 factor R with index r, which are pairwise conjugate but non inner… 4 Highly Influenced PDF
Web1 apr. 1991 · The index can be connected to a relative entropy [50]. Here we follow the work of Hiai [51], who discusses the case of general subfactors (not just Type II 1 [52]) and gives different... WebPopa [Po1] proved, that all real numbers above 4 can be the index of a irreducible pair ofnon-hyperfinite factors.It seems likely, that the values of the index for irreducible subfactors of R, are related to finite orinfinite graphs, in the sense that the index values has to be the square of the norm of such graphs[Po2].
WebIndex for subfactors Journal Article • DOI Full-text Index for subfactors Vaughan F. R. Jones 1 • Institutions (1) 31 Jan 1983 - Inventiones Mathematicae (Springer-Verlag) - … Web18 sep. 2014 · There are exactly three such subfactors with index in \({(3+\sqrt{5}, 6 \frac{1}{5}]}\), all with index \({3+2\sqrt{2}}\). One of these comes from SO (3) q at a root …
WebKeywords Subfactors, quantum subgroups, intermediate subfactors 1 Introduction The Haagerup subfactor is a finite-depth subfactor with index 5+ √ 13 2; this is the smallest index above 4 for any finite depth subfactor. Its even parts are two fusion categories. We will call the fusion category with four simple objects H1
http://www.sciepub.com/reference/116499 punto nave onlineWebFor index greater than 4 these subfactors have nontrivial relative commutant (cf. [13]). It is worth noting that the pairs R^cR are obtained as increasing limits of finite dimensional subalgebras A^cfi^, such that the corresponding conditional expectations commute. punto mypeWeb20 okt. 2006 · Normal intermediate subfactors. Tamotsu TERUYA 1) 1) Department of Mathematics, Hokkaido University. Released 2006/10/20. Keywords: subfactor, Jones index, normal, Hopf algebra, Kac algebra, strongly outer … punto oitinhoWebwith finite index and finite depth is bijective, therefore the classification of hyperfi-nite II 1 subfactors with finite index and finite depth is reduced to that of paragroups. By checking the flatness condition for the connections on the Dynkin diagrams, Oc-neanu has announced in [O1] that subfactors with index less than 4 are completely punto olx manausWebThe multiplicativity of Jones index [9] for subfactors of type II i-factors is a basic fact: If N c L c M are factors of type II i, then [M : N] = [M : L][L : N] . For an inclusion of infinite factors N c M, Index E was introduced by Kosaki [12], depending on a normal faithful conditional expectation E of M onto N. punto olx jfWebHome - Springer punto olx krakowWeb9 mei 2024 · Given a quadruple of finite index subfactors we explicitly compute the Pimsner-Popa probabilistic constant for the pair of intermediate subfactors and relate it with the corresponding Connes-St\o ... punto olx sjc