Index for subfactors

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WebEntropy and index for subfactors. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 19 (1986) no. 1, pp. 57-106. [1] T. Ando, Topics on Operator Inequalities (Lecture Notes, Saporo, 1978). WebIndex for subfactors by VFR Jones 1983 Cited by 1950 Index for Subfactors. Explicit computations of all finite index bimodules for a family of II factors Sergio Doplicher, …

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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. WebThe problems and results that relate directly combinatorial aspects with analytical ones appear to play a central place in the theory of subfactors of finite Jones index. Along these lines, a rather puzzling phenomenon that needs to be clarified is the existence of hyperfinite subfactors that can be approximated by finite dimensional commuting squares, i.e., … flipping homes business plan

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Web20 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 … In the theory of von Neumann algebras, a subfactor of a factor is a subalgebra that is a factor and contains . The theory of subfactors led to the discovery of the Jones polynomial in knot theory. 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 greatest showman theatre production

Index for subfactors

Web1 feb. 2003 · We describe the principal graphs of the subfactors studied by Krishnan and Sunder in terms of group actions on Cayley-type graphs. This leads to the construction of a tower of tree algebras, for ... WebTY - JOUR AU - Pimsner, Mihai AU - Popa, Sorin TI - Entropy and index for subfactors JO - Annales scientifiques de l'École Normale Supérieure PY - 1986 PB - Elsevier VL - 19 IS …

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Web26 okt. 2010 · Of course, Jones' original "Index for subfactors" (MR696688) is an enjoyable read as well. A more advanced and comprehensive treatment is Evans and Kawahigashi's "Quantum symmetries on operator algebras" (MR1642584). Classification: When mathematicians encounter a family of mathematical objects, we feel the need to … WebCitations in EuDML Documents. Qiaoling Xin, Lining Jiang, Zhenhua Ma, The basic construction from the conditional expectation on the quantum double of a finite group. …

WebWe identify the statistical dimension of a superselection sector in a local quantum field theory with the square root of the index of a localized endomorph Index of 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 …

http://www.numdam.org/item/ASENS_1986_4_19_1_57_0/ Webindex of a subfactor whose standard invariant is either a quotient of Temperley-Lieb (if the index is less than 4) [Jon83] or Temperley-Lieb (if the index is at least 4) [Pop93]. However, once you ignore the subfactors with Temperley-Lieb standard invariant, the possible indices for irreducible subfactors are again quantized in an interval ...

Web15 nov. 1995 · Abstract A simple numerical argument is given that the minimal (Jones) index of a subfactor N ⊂ > M is strongly restricted if for L ⊂ N with the same index, the …

Web22 apr. 2013 · Their Jones indices lie between 4 and 4.5 and they have principal graphs A ∞ . These subfactors were previously obtained by Haagerup and Schou by constructing a non-degenerate commuting square... flipping homes in austinWebThe small index subfactor classi-Vcation program has been a rich source of interesting quantum symmetries. We give the complete … flipping homes chicago september 8Webof a ﬁnite index subfactor ([O88], [P95], [J99]). This further fostered classiﬁcation of small index subfactors ([JMS14], [AMP15]). Q-systems were ﬁrst introduced in [L94] to characterize canonical endomorphism associated to a ﬁnite index subfactor of an inﬁnite factor. Given any rigid, semisimple, C*-tensor category C with simple ... flipping homes companies wsjWebKeywords 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 flipping homes chicago september 2018Web[HW] Handelman, D., Wenzl, H.: Closedness of index values for subfactors. Proc. Am Math. Soc.101, 277–282 (1987) Google Scholar [H] Hoefsmit, P.N.: Representations of … greatest showman the greatest show songWebThe 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. flipping homes finding contractorshttp://archive.numdam.org/article/ASENS_1986_4_19_1_57_0.pdf flipping homes in bay area