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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.

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Subfactor

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algebras, a subfactor of a factor M {\displaystyle M} is a subalgebra that is a factor and contains 1 {\displaystyle 1} . The theory of subfactors led to the...

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Planar algebra

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appeared in the work of Vaughan Jones on the standard invariant of a II1 subfactor. They also provide an appropriate algebraic framework for many knot invariants...

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Conscientiousness

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subfactors (competence, achievement striving, and self-discipline) correlate positively. People who score high on the order subfactor of conscientiousness...

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Fair use

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under the first fair use factor. The Campbell case also addressed the subfactor mentioned in the quotation above, "whether such use is of a commercial...

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Vaughan Jones

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Society. doi:10.1090/memo/0237. Jones, Vaughan F. R. (1983). "Index for subfactors". Inventiones Mathematicae. 72 (1): 1–25. Bibcode:1983InMat..72....1J...

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Hierarchical Taxonomy of Psychopathology

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components and traits into (in order of increasing generality) syndromes, subfactors, spectra, and superspectra. Currently, several aspects of the model are...

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List of Shanti Swarup Bhatnagar Prize recipients

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Bhatia Delhi Matrix function 1996 Vaikalathur Shankar Sunder Tamil Nadu Subfactor 1998 Trivandrum Ramakrishnan Ramadas Tamil Nadu Algebraic geometry 1998...

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Hyperfinite type II factor

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entries in the hyperfinite type II1 factor that define bounded operators. Subfactors A. Connes, Classification of Injective Factors The Annals of Mathematics...

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Von Neumann algebra

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structure than that of modules. Any bimodule over two factors always gives a subfactor since one of the factors is always contained in the commutant of the other...

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Sorin Popa

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International Congress of Mathematicians (ICM) in Kyoto, where he gave a talk on "Subfactors and Classifications in von Neumann algebras". He was a Guggenheim Fellow...

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Uffe Haagerup

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Haagerup is known for the Haagerup property, the Haagerup subfactor, the Asaeda-Haagerup subfactor and the Haagerup list. From 2000 to 2006 Uffe served as...

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Impulsivity

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Zuckerman's Sensation-Seeking dimension, especially the disinhibition subfactor. The BIS-11 with 30 items was developed in 1995. According to Patton and...

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White demographic decline

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Germany, Spain, Italy, and Zimbabwe. Scholars have attempted to address subfactors and anticipated results of White demographic decline in relevant societies...

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Bartle taxonomy of player types

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that the Bartle's Explorer type didn't appear and more importantly its subfactors "exploring the world" and "analysing the game mechanics" didn't correlate...

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Government procurement in the United States

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competing proposals." (FAR 15.304, Evaluation factors and significant subfactors). Independent Government cost estimate Market research: Market research...

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Antony Wassermann

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for his works on conformal field theory (providing several series of subfactors), the actions of compact groups on von Neumann algebras, and his proof...

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Sensation Seeking Scale

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responses. Experiments done using this scale showed the possibility of subfactors existing within each item. These factors are later used to form the SSS...

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Frobenius algebra

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semisimple Hopf algebra, Galois extensions and certain von Neumann algebra subfactors of finite index. Another source of examples of Frobenius extensions (and...

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Bratteli diagram

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important role in Elliott's classification of AF-algebras and the theory of subfactors. Subsequently Anatoly Vershik associated dynamical systems with infinite...

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Depth of noncommutative subrings

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in Mathematics, that are inspired from the field of operator algebras, subfactors: in particular, somewhat related to A. Ocneanu's definition of depth,...

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Rosa Orellana

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dissertation, The Hecke Algebra of Type B at Roots of Unity, Markov Traces and Subfactors, was supervised by Hans Wenzl. After completing her doctorate, Orellana...

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Alice Guionnet

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entropies, building with Vaughan Jones and Dimitri Shlyakhtenko a round of subfactors from planar algebras of any index, and establishing isomorphisms between...

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