C*-algebras | Operator algebras | K-theory

Operator K-theory

In mathematics, operator K-theory is a noncommutative analogue of topological K-theory for Banach algebras with most applications used for C*-algebras. (Wikipedia).

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Guoliang Yu: Quantitative operator K-theory and its applications

Abstract: In this lecture, I will give an introduction to quantitative operator K-theory and apply it to compute K-theory of operator algebras which naturally arise from geometry. I will discuss applications to asymptotic behavior of positive scalar curvature when the dimension of the mani

From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"

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Operators in Quantum Mechanics

We discuss some general ideas about operators in quantum mechanics.

From playlist Quantum Mechanics Uploads

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Ever heard of Quantum Operators and Commutators? (Explained for Beginners)!

What is a quantum operator? And just how useful are quantum commutators? Find out how they help us understand the Ehrenfest Theorem! Hi everyone, I'm back with a new video! This time it's the first in a two-part mini-series on one of the coolest theorems in quantum mechanics - Ehrenfest's

From playlist Quantum Physics by Parth G

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Quantum Operators

Quantum Operators for measurements of Energy, Position, and Momentum in Quantum Physics. My Patreon page is at https://www.patreon.com/EugeneK

From playlist Physics

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Oscar Bandtlow: Spectral approximation of transfer operators

The lecture was held within the framework of the Hausdorff Trimester Program "Dynamics: Topology and Numbers": Conference on “Transfer operators in number theory and quantum chaos” Abstract:The talk will be concerned with the problem of how to approximate spectral data oftra

From playlist Conference: Transfer operators in number theory and quantum chaos

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Schemes 46: Differential operators

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In this lecture we define differential operators on rings, and calculate the universal (normalized) differential operator of order n. As a special case we fin

From playlist Algebraic geometry II: Schemes

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Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - H.Osaka

Hiroyuki Osaka (Ritsumeikan) / 14.09.17 Title: Operator means and application to generalized entropies Abstract: In this talk we present a relation between generalized entropies and operator means. For example, as pointed by Furuichi \cite{SF11}, two upper bounds on the Tsallis entropie

From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

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Linear Transformations: Onto

Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.

From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics

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Koopman Spectral Analysis (Multiscale systems)

In this video, we discuss recent applications of data-driven Koopman theory to multi-scale systems. arXiv paper: https://arxiv.org/abs/1805.07411 https://www.eigensteve.com/

From playlist Koopman Analysis

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Index Theory, survey - Stephan Stolz [2018]

TaG survey series These are short series of lectures focusing on a topic in geometry and topology. May_8_2018 Stephan Stolz - Index Theory https://www3.nd.edu/~math/rtg/tag.html (audio fixed)

From playlist Mathematics

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Operational K-theory - Sam Payne

Sam Payne March 13, 2015 Workshop on Chow groups, motives and derived categories More videos on http://video.ias.edu

From playlist Mathematics

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M2-branes and Supersymmetric Chern-Simons Theories, Part 3 - Daniel Jafferis

M2-branes and Supersymmetric Chern-Simons Theories, Part 3 Daniel Jafferis Institute for Advanced Study July 27, 2010

From playlist PiTP 2010

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Quantum Field Theory 7a Oppenheimer and Bethe I

Two papers, one by J. Robert Oppenheimer and the other by Hans Bethe, "bookend" a period in the development of quantum field theory in which physicists struggled with infinities that kept popping up in calculations and threatened to derail the entire field. Bethe's solution of "mass renorm

From playlist Quantum Field Theory

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Dynamics of 2+1-dimensional quantum field theories (Lecture - 04) by Nathan Seiberg

DATE & TIME 12 January 2018, 11:00 to 12:30 VENUE Ramanujan Lecture Hall, ICTS Bangalore RESOURCES Lecture 1: 8 January 2018, 16:00 to 17:30 Title: Symmetries, Duality, and the Unity of Physics Abstract: Global symmetries and gauge symmetries have played a crucial role in physics. The

From playlist Infosys-ICTS Chandrasekhar Lectures

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Matthew Kennedy: Noncommutative convexity

Talk by Matthew Kennedy in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on May 5, 2021

From playlist Global Noncommutative Geometry Seminar (Europe)

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Markus Pflaum: The transverse index theorem for proper cocompact actions of Lie groupoids

The talk is based on joint work with H. Posthuma and X. Tang. We consider a proper cocompact action of a Lie groupoid and define a higher index pairing between invariant elliptic differential operators and smooth groupoid cohomology classes. We prove a cohomological index formula for this

From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"

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​Andrei Negut: Hilbert schemes of K3 surfaces

Abstract: ​We give a geometric representation theory proof of a mild version of the Beauville-Voisin Conjecture for Hilbert schemes of K3 surfaces, namely the injectivity of the cycle map restricted to the subring of Chow generated by tautological classes. Although other geometric proofs o

From playlist Algebraic and Complex Geometry

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Determinant of an Operator and of a Matrix

Determinant of an operator. An operator is not invertible if and only if its determinant equals 0. Formula for the characteristic polynomial in terms of determinants. Determinant of a matrix. Connection between the two notions of determinant.

From playlist Linear Algebra Done Right

Related pages

Algebraic extension | K-homology | KK-theory | Noncommutative topology | Vector bundle | Excision theorem | Hausdorff space | Mathematics | Algebraic K-theory | Bott periodicity theorem | Calkin algebra | Ronald G. Douglas | Grothendieck group | C*-algebra | Topological K-theory