Index for subfactors

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August undefined, 2024

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. … 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 ...

Classification of subfactors: the reduction to commuting squares

Web5 jul. 2024 · We introduce block maps for subfactors and study their dynamic systems. We prove that the limit points of the dynamic system are positive multiples of biprojections and zero. For the ℤ2 case, the asymptotic phenomenon of the block map coincides with that of the 2D Ising model. The study of block maps requires a further development of our … 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 … head and heart company

(PDF) Entropy and index for subfactors (1986) Mihai Pimsner 576 ...

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 - 1 SP - 57 EP - 106 LA - eng KW - Jones index; finite von Neumann factors; trace preserving conditional expection; relative entropy; Jones' pair of subfactors UR ... 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. 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). head and heart capital

Minimum index for subfactors and entropy. II Request PDF

Index for subfactors SpringerLink

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 ... Web23 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 … gold from the starsIn 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. gold from the stone foundation

"Web[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 … " - Index for subfactors

Index for subfactors

Symmetric enveloping algebras, amenability and AFD properties …

WebHome - Springer Web9 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 ...

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WebIn this article we are going to construct a family of type П1subfactors each containing a middle subfactor. As a result of the above construction we show that the set of the … WebIndex for subfactors V. Jones Published 1 February 1983 Mathematics Inventiones mathematicae View on Springer Save to Library Create Alert Cite 1,596 Citations …

Web14 jun. 2011 · For real factors the notions of the coupling constant and the index are introduced and investigated. The possible values of the index for type II$_1$ real factors are calculated, in a similar...

http://www.numdam.org/item/ASENS_1986_4_19_1_57_0/ 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 …

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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) - … gold from the tuolumne county californiaWebof 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 ... head and heart imbo online initiativeWeb1 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... gold from the stoneWebPopa [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]. head and heart counseling traverse cityWebKeywords 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 gold from turkeyWebSubfactors 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 … head and hearth beddingWebFUSION SYMMETRIC SPACES AND SUBFACTORS HANS WENZL Abstract. We construct analogs of the embedding of orthogonal and symplectic groups ... We determine when these cate-gories are unitarizable, and explicitly calculate the index and principal graph of the resulting subfactors. This paper is a sequel of our previous paper [W4], ... head and heart estate planning