Von Neumann algebras | Operator theory

Subfactor

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. (Wikipedia).

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Prealgebra 1.3a - Subtracting

An introduction to subtraction, the terms and concepts involved, and subtraction as the opposite of addition. Some example problems are carefully worked and explained. From the Prealgebra course by Derek Owens. This course is available online at http://www.LucidEducation.com.

From playlist Prealgebra Chapter 1 (Complete chapter)

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Amine Marrakchi - Le problème du bicentralisateur de Connes

À la fin des années 1970, Connes formula une conjecture portant sur les facteurs de type III1 connue sous le nom de "problème du bicentralisateur" et montra qu'une solution positive à ce problème permettrait de prouver l'unicité du facteur moyennable de type III1. Cette conjecture de Conne

From playlist Annual meeting “Arbre de Noël du GDR Géométrie non-commutative”

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Subtracting polynomials by using the addition method

👉 Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you have identified the like terms, we then apply the requ

From playlist How to subtract polynomials

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Makoto Yamashita: Subfactor and operator system theoretic aspects of categorical Poisson boundary

Makoto Yamashita: Subfactor and operator system theoretic aspects of categorical Poisson boundary Abstract: The study of categorical Poisson boundary involves in a crucial way intricate techniques from the theories of subfactors and operator systems. These include a generalized Pimsner-Po

From playlist HIM Lectures: Trimester Program "Von Neumann Algebras"

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Shamindra Kumar Ghosh: Annular representations of C tensor categories

Shamindra Kumar Ghosh: Annular representations of C*-tensor categories Abstract: Annular representations of finite index subfactors / planar algebras were introduced by Vaughan Jones. This turned out to be one of the most important tool to construct new subfactors. On the other hand, (alo

From playlist HIM Lectures: Trimester Program "Von Neumann Algebras"

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Intro to Subsequences | Real Analysis

What are subsequences in real analysis? In today's lesson we'll define subsequences, and see examples and nonexamples of subsequences. We can learn a lot about a sequence by studying its subsequence, so let's talk about it! If (a_n) is a sequence, we can denote a subsequence of (a_n) as (

From playlist Real Analysis

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Arnaud Brothier: Analytical properties for subfactors

Arnaud Brothier: Analytical properties for subfactors Abstract: We will discuss about analytic properties for groups and their generalizations to subfactors, standard invariants, and certain tensor categories. We will present examples of subfactors with prescribed properties such as weak

From playlist HIM Lectures: Trimester Program "Von Neumann Algebras"

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Makoto Yamashita: "Unitary rigid tensor (and 2-)categories, and their actions on operator algebras"

Actions of Tensor Categories on C*-algebras 2021 Mini Course: "Unitary rigid tensor (and 2-)categories, and their actions on operator algebras" Makoto Yamashita - University of Oslo Abstract: This is an introductory overview talk about tensor categorical structures behind inclusion of op

From playlist Actions of Tensor Categories on C*-algebras 2021

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Sergey Neshveyev: Drinfeld center, tube algebra, and representation theory of monoidal categories

Sergey Neshveyev: Drinfeld center, tube algebra, and representation theory of monoidal categories Abstract: I will review and clarify the connections between several constructions in category theory, subfactor theory and quantum groups, such as Drinfeld center, Drinfeld double, Ocneanu's

From playlist HIM Lectures: Trimester Program "Von Neumann Algebras"

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Overview subtracting polynomials teacher explains how to

👉 Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you have identified the like terms, we then apply the requ

From playlist How to subtract polynomials

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Marcel Bischoff: Generalized fixed points of conformal nets and quantum double subfactors

Marcel Bischoff: Generalized fixed points of conformal nets and quantum double subfactors Abstract: Conformal field theory can be axiomatized using von Neumann algebras, namely by so-called conformal nets. I will review the structure of finite index subnets of completely rational conforma

From playlist HIM Lectures: Trimester Program "Von Neumann Algebras"

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Stefaan Vaes: Cohomology and L2-Betti numbers for subfactors and quasi-regular inclusions

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Analysis and its Applications

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How to simplify the subtraction of two polynomials

👉 Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you have identified the like terms, we then apply the requ

From playlist How to subtract polynomials

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Subtracting two polynomials

👉 Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you have identified the like terms, we then apply the requ

From playlist How to subtract polynomials

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Subtracting two polynomials

👉 Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you have identified the like terms, we then apply the requ

From playlist How to subtract polynomials

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Learn how to subtract two polynomials using two different methods

👉 Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you have identified the like terms, we then apply the requ

From playlist How to subtract polynomials

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Julia Plavnik: "Classifying small fusion categories"

Actions of Tensor Categories on C*-algebras 2021 "Classifying small fusion categories" Julia Plavnik - Indiana University, Mathematics Abstract: Classifying fusion categories is a problem that at the moment seems out of reach, since it includes the classification of finite groups and sem

From playlist Actions of Tensor Categories on C*-algebras 2021

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Subtracting linear functions to find domain

👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions together. To add or subtract two linear functions, w

From playlist Add and Subtract Functions

Related pages

Jones polynomial | Braid group | Bipartite graph | Temperley–Lieb algebra | Von Neumann algebra | Planar algebra | Knot theory